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The Resource Symmetries in Graphs, Maps, and Polytopes : 5th SIGMAP Workshop, West Malvern, UK, July 2014, edited by Jozef Širáň, Robert Jajcay, (electronic resource)
Symmetries in Graphs, Maps, and Polytopes : 5th SIGMAP Workshop, West Malvern, UK, July 2014, edited by Jozef Širáň, Robert Jajcay, (electronic resource)
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The item Symmetries in Graphs, Maps, and Polytopes : 5th SIGMAP Workshop, West Malvern, UK, July 2014, edited by Jozef Širáň, Robert Jajcay, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.This item is available to borrow from all library branches.
Resource Information
The item Symmetries in Graphs, Maps, and Polytopes : 5th SIGMAP Workshop, West Malvern, UK, July 2014, edited by Jozef Širáň, Robert Jajcay, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.
This item is available to borrow from all library branches.
 Summary
 This volume contains seventeen of the best papers delivered at the SIGMAP Workshop 2014, representing the most recent advances in the field of symmetries of discrete objects and structures, with a particular emphasis on connections between maps, Riemann surfaces and dessins d’enfant. Providing the global community of researchers in the field with the opportunity to gather, converse and present their newest findings and advances, the Symmetries In Graphs, Maps, and Polytopes Workshop 2014 was the fifth in a series of workshops. The initial workshop, organized by Steve Wilson in Flagstaff, Arizona, in 1998, was followed in 2002 and 2006 by two meetings held in Aveiro, Portugal, organized by Antonio Breda d’Azevedo, and a fourth workshop held in Oaxaca, Mexico, organized by Isabel Hubard in 2010. This book should appeal to both specialists and those seeking a broad overview of what is happening in the area of symmetries of discrete objects and structures
 Language

 eng
 eng
 Edition
 1st ed. 2016.
 Extent
 1 online resource (330 p.)
 Note
 Description based upon print version of record
 Contents

 Preface; Acknowledgements; Contents; Powers of SkewMorphisms; 1 Introduction; 2 Basic Properties of SkewMorphisms and Their Relation to Cayley Maps; 3 Generalization of tBalanced SkewMorphisms; 4 Powers of SkewMorphisms; 5 CosetPreserving Powers; 6 CosetPreserving SkewMorphisms of Cyclic Groups; References; Census of Quadrangle Groups Inclusions; 1 Introduction; 2 Generalised Quadrangle Groups and Constellations; 3 How to Read the Census; References; Some Unexpected Consequences of Symmetry Computations; 1 Introduction; 2 ArcTransitive Cubic Graphs and SL(3,mathbbZ)
 3 Sierpinski's Gasket and Binary Gray Codes4 Regular Maps; References; A 3D Spinorial View of 4D Exceptional Phenomena; 1 Introduction; 2 Root Systems and Reflection Groups; 3 Clifford Versor Framework; 4 H4 as a Rotation Rather Than Reflection Group I: From E8; 5 H4 as a Rotation Rather Than Reflection Group II: From H3; 6 The General Construction: Spinor Induction and the 4D Platonic Solids, Trinities and McKay Correspondence; 7 Group and Representation Theory with Clifford Multivectors; 8 Conclusion; References; Möbius Inversion in Suzuki Groups and Enumeration of Regular Objects
 1 Introduction2 Categories and Groups; 2.1 Maps, Hypermaps and Groups; 2.2 Reflexibility; 2.3 Covering Spaces; 3 Counting Homomorphisms; 4 The Suzuki Groups and Their Subgroups; 4.1 The Definition of the Suzuki Groups; 4.2 Basic Properties of Suzuki Groups; 4.3 Some Particular Subgroups; 4.4 The Möbius Function of a Suzuki Group; 5 Subgroups H with G (H); 5.1 Maxint Subgroups; 5.2 Maximal Subgroups; 5.3 PointStabilisers in Maximal Subgroups; 5.4 Subgroups H of F; 5.5 Subgroups H of Bi; 6 Size of Conjugacy Classes; 7 Calculating Values of muG; 8 Enumerations; 8.1 Orientably Regular Hypermaps
 8.2 Regular Hypermaps8.3 Orientably Regular Maps; 8.4 Regular Maps; 8.5 Surface Coverings; 9 The Smallest Simple Suzuki Group; 10 Postscript; References; More on Strongly Real Beauville Groups; 1 Introduction; 2 Preliminaries; 3 The Finite Simple Groups; 4 Characteristically Simple Groups; 5 Almost Simple Groups; 6 The Groups G:langlegrangletimesG:langlegrangle; 7 Abelian and Nilpotent Groups; References; On Pentagonal Geometries with Block Size 3, 4 or 5; 1 Introduction; 2 Constructions; 3 Block Size 3; 4 Block Sizes 4 and 5; 5 The Case r=2k+1; 6 Concluding Remarks; References
 The GrothendieckTeichmüller Group of a Finite Group and GDessins d'enfants1 Introduction; 2 Generalities; 2.1 The Group gb; 2.2 The Group gts(G); 2.3 Inverse Limits; 2.4 The Galois Group of mathbbQ; 2.5 pGroups and Nilpotent Groups; 3 An Elementary Example: Dihedral Groups; 4 The Case of Simple Groups; 4.1 Notation; 4.2 An Action of outgb on pc; 4.3 The Group mathscrS(G); 4.4 Properties of mathscrS(G); 4.5 A Complete Example; 5 Computing Explicitly; 5.1 Computing gts1G; 5.2 Computing sG; 5.3 Simple Groups of Small Order; 5.4 pGroups; 6 Dessins d'enfants; 6.1 The Category of Dessins
 6.2 ΓDessins
 Isbn
 9783319304519
 Label
 Symmetries in Graphs, Maps, and Polytopes : 5th SIGMAP Workshop, West Malvern, UK, July 2014
 Title
 Symmetries in Graphs, Maps, and Polytopes
 Title remainder
 5th SIGMAP Workshop, West Malvern, UK, July 2014
 Statement of responsibility
 edited by Jozef Širáň, Robert Jajcay
 Language

 eng
 eng
 Summary
 This volume contains seventeen of the best papers delivered at the SIGMAP Workshop 2014, representing the most recent advances in the field of symmetries of discrete objects and structures, with a particular emphasis on connections between maps, Riemann surfaces and dessins d’enfant. Providing the global community of researchers in the field with the opportunity to gather, converse and present their newest findings and advances, the Symmetries In Graphs, Maps, and Polytopes Workshop 2014 was the fifth in a series of workshops. The initial workshop, organized by Steve Wilson in Flagstaff, Arizona, in 1998, was followed in 2002 and 2006 by two meetings held in Aveiro, Portugal, organized by Antonio Breda d’Azevedo, and a fourth workshop held in Oaxaca, Mexico, organized by Isabel Hubard in 2010. This book should appeal to both specialists and those seeking a broad overview of what is happening in the area of symmetries of discrete objects and structures
 Dewey number
 510
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt

 tJH8hMSlvNw
 h0Bi2Vn1WgI
 Language note
 English
 LC call number
 QA166166.247
 Literary form
 non fiction
 http://bibfra.me/vocab/lite/meetingDate
 2014
 http://bibfra.me/vocab/lite/meetingName
 Symmetries In Graphs, Mans, And Polytopes Workshop
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName

 Širáň, Jozef.
 Jajcay, Robert.
 Series statement
 Springer Proceedings in Mathematics & Statistics,
 Series volume
 159
 http://library.link/vocab/subjectName

 Field theory (Physics)
 Topological Groups
 Graph Theory
 Field Theory and Polynomials
 Topological Groups, Lie Groups
 Label
 Symmetries in Graphs, Maps, and Polytopes : 5th SIGMAP Workshop, West Malvern, UK, July 2014, edited by Jozef Širáň, Robert Jajcay, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents

 Preface; Acknowledgements; Contents; Powers of SkewMorphisms; 1 Introduction; 2 Basic Properties of SkewMorphisms and Their Relation to Cayley Maps; 3 Generalization of tBalanced SkewMorphisms; 4 Powers of SkewMorphisms; 5 CosetPreserving Powers; 6 CosetPreserving SkewMorphisms of Cyclic Groups; References; Census of Quadrangle Groups Inclusions; 1 Introduction; 2 Generalised Quadrangle Groups and Constellations; 3 How to Read the Census; References; Some Unexpected Consequences of Symmetry Computations; 1 Introduction; 2 ArcTransitive Cubic Graphs and SL(3,mathbbZ)
 3 Sierpinski's Gasket and Binary Gray Codes4 Regular Maps; References; A 3D Spinorial View of 4D Exceptional Phenomena; 1 Introduction; 2 Root Systems and Reflection Groups; 3 Clifford Versor Framework; 4 H4 as a Rotation Rather Than Reflection Group I: From E8; 5 H4 as a Rotation Rather Than Reflection Group II: From H3; 6 The General Construction: Spinor Induction and the 4D Platonic Solids, Trinities and McKay Correspondence; 7 Group and Representation Theory with Clifford Multivectors; 8 Conclusion; References; Möbius Inversion in Suzuki Groups and Enumeration of Regular Objects
 1 Introduction2 Categories and Groups; 2.1 Maps, Hypermaps and Groups; 2.2 Reflexibility; 2.3 Covering Spaces; 3 Counting Homomorphisms; 4 The Suzuki Groups and Their Subgroups; 4.1 The Definition of the Suzuki Groups; 4.2 Basic Properties of Suzuki Groups; 4.3 Some Particular Subgroups; 4.4 The Möbius Function of a Suzuki Group; 5 Subgroups H with G (H); 5.1 Maxint Subgroups; 5.2 Maximal Subgroups; 5.3 PointStabilisers in Maximal Subgroups; 5.4 Subgroups H of F; 5.5 Subgroups H of Bi; 6 Size of Conjugacy Classes; 7 Calculating Values of muG; 8 Enumerations; 8.1 Orientably Regular Hypermaps
 8.2 Regular Hypermaps8.3 Orientably Regular Maps; 8.4 Regular Maps; 8.5 Surface Coverings; 9 The Smallest Simple Suzuki Group; 10 Postscript; References; More on Strongly Real Beauville Groups; 1 Introduction; 2 Preliminaries; 3 The Finite Simple Groups; 4 Characteristically Simple Groups; 5 Almost Simple Groups; 6 The Groups G:langlegrangletimesG:langlegrangle; 7 Abelian and Nilpotent Groups; References; On Pentagonal Geometries with Block Size 3, 4 or 5; 1 Introduction; 2 Constructions; 3 Block Size 3; 4 Block Sizes 4 and 5; 5 The Case r=2k+1; 6 Concluding Remarks; References
 The GrothendieckTeichmüller Group of a Finite Group and GDessins d'enfants1 Introduction; 2 Generalities; 2.1 The Group gb; 2.2 The Group gts(G); 2.3 Inverse Limits; 2.4 The Galois Group of mathbbQ; 2.5 pGroups and Nilpotent Groups; 3 An Elementary Example: Dihedral Groups; 4 The Case of Simple Groups; 4.1 Notation; 4.2 An Action of outgb on pc; 4.3 The Group mathscrS(G); 4.4 Properties of mathscrS(G); 4.5 A Complete Example; 5 Computing Explicitly; 5.1 Computing gts1G; 5.2 Computing sG; 5.3 Simple Groups of Small Order; 5.4 pGroups; 6 Dessins d'enfants; 6.1 The Category of Dessins
 6.2 ΓDessins
 Dimensions
 unknown
 Edition
 1st ed. 2016.
 Extent
 1 online resource (330 p.)
 Form of item
 online
 Isbn
 9783319304519
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9783319304519
 Specific material designation
 remote
 System control number

 (CKB)3710000000621644
 (EBL)4459554
 (SSID)ssj0001654172
 (PQKBManifestationID)16433427
 (PQKBTitleCode)TC0001654172
 (PQKBWorkID)14983007
 (PQKB)10420692
 (DEHe213)9783319304519
 (MiAaPQ)EBC4459554
 (EXLCZ)993710000000621644
 Label
 Symmetries in Graphs, Maps, and Polytopes : 5th SIGMAP Workshop, West Malvern, UK, July 2014, edited by Jozef Širáň, Robert Jajcay, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents

 Preface; Acknowledgements; Contents; Powers of SkewMorphisms; 1 Introduction; 2 Basic Properties of SkewMorphisms and Their Relation to Cayley Maps; 3 Generalization of tBalanced SkewMorphisms; 4 Powers of SkewMorphisms; 5 CosetPreserving Powers; 6 CosetPreserving SkewMorphisms of Cyclic Groups; References; Census of Quadrangle Groups Inclusions; 1 Introduction; 2 Generalised Quadrangle Groups and Constellations; 3 How to Read the Census; References; Some Unexpected Consequences of Symmetry Computations; 1 Introduction; 2 ArcTransitive Cubic Graphs and SL(3,mathbbZ)
 3 Sierpinski's Gasket and Binary Gray Codes4 Regular Maps; References; A 3D Spinorial View of 4D Exceptional Phenomena; 1 Introduction; 2 Root Systems and Reflection Groups; 3 Clifford Versor Framework; 4 H4 as a Rotation Rather Than Reflection Group I: From E8; 5 H4 as a Rotation Rather Than Reflection Group II: From H3; 6 The General Construction: Spinor Induction and the 4D Platonic Solids, Trinities and McKay Correspondence; 7 Group and Representation Theory with Clifford Multivectors; 8 Conclusion; References; Möbius Inversion in Suzuki Groups and Enumeration of Regular Objects
 1 Introduction2 Categories and Groups; 2.1 Maps, Hypermaps and Groups; 2.2 Reflexibility; 2.3 Covering Spaces; 3 Counting Homomorphisms; 4 The Suzuki Groups and Their Subgroups; 4.1 The Definition of the Suzuki Groups; 4.2 Basic Properties of Suzuki Groups; 4.3 Some Particular Subgroups; 4.4 The Möbius Function of a Suzuki Group; 5 Subgroups H with G (H); 5.1 Maxint Subgroups; 5.2 Maximal Subgroups; 5.3 PointStabilisers in Maximal Subgroups; 5.4 Subgroups H of F; 5.5 Subgroups H of Bi; 6 Size of Conjugacy Classes; 7 Calculating Values of muG; 8 Enumerations; 8.1 Orientably Regular Hypermaps
 8.2 Regular Hypermaps8.3 Orientably Regular Maps; 8.4 Regular Maps; 8.5 Surface Coverings; 9 The Smallest Simple Suzuki Group; 10 Postscript; References; More on Strongly Real Beauville Groups; 1 Introduction; 2 Preliminaries; 3 The Finite Simple Groups; 4 Characteristically Simple Groups; 5 Almost Simple Groups; 6 The Groups G:langlegrangletimesG:langlegrangle; 7 Abelian and Nilpotent Groups; References; On Pentagonal Geometries with Block Size 3, 4 or 5; 1 Introduction; 2 Constructions; 3 Block Size 3; 4 Block Sizes 4 and 5; 5 The Case r=2k+1; 6 Concluding Remarks; References
 The GrothendieckTeichmüller Group of a Finite Group and GDessins d'enfants1 Introduction; 2 Generalities; 2.1 The Group gb; 2.2 The Group gts(G); 2.3 Inverse Limits; 2.4 The Galois Group of mathbbQ; 2.5 pGroups and Nilpotent Groups; 3 An Elementary Example: Dihedral Groups; 4 The Case of Simple Groups; 4.1 Notation; 4.2 An Action of outgb on pc; 4.3 The Group mathscrS(G); 4.4 Properties of mathscrS(G); 4.5 A Complete Example; 5 Computing Explicitly; 5.1 Computing gts1G; 5.2 Computing sG; 5.3 Simple Groups of Small Order; 5.4 pGroups; 6 Dessins d'enfants; 6.1 The Category of Dessins
 6.2 ΓDessins
 Dimensions
 unknown
 Edition
 1st ed. 2016.
 Extent
 1 online resource (330 p.)
 Form of item
 online
 Isbn
 9783319304519
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9783319304519
 Specific material designation
 remote
 System control number

 (CKB)3710000000621644
 (EBL)4459554
 (SSID)ssj0001654172
 (PQKBManifestationID)16433427
 (PQKBTitleCode)TC0001654172
 (PQKBWorkID)14983007
 (PQKB)10420692
 (DEHe213)9783319304519
 (MiAaPQ)EBC4459554
 (EXLCZ)993710000000621644
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