Low rank representations and graphs for sporadic groups:
This book presents a complete classification of the transitive permutation representations of rank at most five of the sporadic simple groups and their automorphism groups, together with a comprehensive study of the vertex-transitive graphs associated with these representations. Included is a list o...
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1997
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| Schriftenreihe: | Australian Mathematical Society lecture series
8 |
| Links: | https://doi.org/10.1017/CBO9780511526039 |
| Zusammenfassung: | This book presents a complete classification of the transitive permutation representations of rank at most five of the sporadic simple groups and their automorphism groups, together with a comprehensive study of the vertex-transitive graphs associated with these representations. Included is a list of all vertex-transitive, distance-regular graphs on which a sporadic almost simple group acts with rank at most five. In this list are some new, interesting distance-regular graphs of diameter two, which are not distance-transitive. For most of the representations a presentation of the sporadic group is given, with words in the given generators which generate a point stabiliser: this gives readers sufficient information to reconstruct and study the representations and graphs. Practical computational techniques appropriate for analysing finite vertex-transitive graphs are described carefully, making the book an excellent starting point for learning about groups and the graphs on which they act. |
| Umfang: | 1 Online-Ressource (xi, 141 Seiten) |
| ISBN: | 9780511526039 |
Internformat
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| 100 | 1 | |a Praeger, Cheryl E. |d 1948- | |
| 245 | 1 | 0 | |a Low rank representations and graphs for sporadic groups |c Cheryl E. Praeger, Leonard H. Soicher |
| 246 | 3 | |a Low Rank Representations & Graphs for Sporadic Groups | |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 1997 | |
| 300 | |a 1 Online-Ressource (xi, 141 Seiten) | ||
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| 490 | 1 | |a Australian Mathematical Society lecture series |v 8 | |
| 520 | |a This book presents a complete classification of the transitive permutation representations of rank at most five of the sporadic simple groups and their automorphism groups, together with a comprehensive study of the vertex-transitive graphs associated with these representations. Included is a list of all vertex-transitive, distance-regular graphs on which a sporadic almost simple group acts with rank at most five. In this list are some new, interesting distance-regular graphs of diameter two, which are not distance-transitive. For most of the representations a presentation of the sporadic group is given, with words in the given generators which generate a point stabiliser: this gives readers sufficient information to reconstruct and study the representations and graphs. Practical computational techniques appropriate for analysing finite vertex-transitive graphs are described carefully, making the book an excellent starting point for learning about groups and the graphs on which they act. | ||
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| series2 | Australian Mathematical Society lecture series |
| spelling | Praeger, Cheryl E. 1948- Low rank representations and graphs for sporadic groups Cheryl E. Praeger, Leonard H. Soicher Low Rank Representations & Graphs for Sporadic Groups Cambridge Cambridge University Press 1997 1 Online-Ressource (xi, 141 Seiten) txt c cr Australian Mathematical Society lecture series 8 This book presents a complete classification of the transitive permutation representations of rank at most five of the sporadic simple groups and their automorphism groups, together with a comprehensive study of the vertex-transitive graphs associated with these representations. Included is a list of all vertex-transitive, distance-regular graphs on which a sporadic almost simple group acts with rank at most five. In this list are some new, interesting distance-regular graphs of diameter two, which are not distance-transitive. For most of the representations a presentation of the sporadic group is given, with words in the given generators which generate a point stabiliser: this gives readers sufficient information to reconstruct and study the representations and graphs. Practical computational techniques appropriate for analysing finite vertex-transitive graphs are described carefully, making the book an excellent starting point for learning about groups and the graphs on which they act. Soicher, Leonard H. Erscheint auch als Druck-Ausgabe 9780521567374 |
| spellingShingle | Praeger, Cheryl E. 1948- Low rank representations and graphs for sporadic groups |
| title | Low rank representations and graphs for sporadic groups |
| title_alt | Low Rank Representations & Graphs for Sporadic Groups |
| title_auth | Low rank representations and graphs for sporadic groups |
| title_exact_search | Low rank representations and graphs for sporadic groups |
| title_full | Low rank representations and graphs for sporadic groups Cheryl E. Praeger, Leonard H. Soicher |
| title_fullStr | Low rank representations and graphs for sporadic groups Cheryl E. Praeger, Leonard H. Soicher |
| title_full_unstemmed | Low rank representations and graphs for sporadic groups Cheryl E. Praeger, Leonard H. Soicher |
| title_short | Low rank representations and graphs for sporadic groups |
| title_sort | low rank representations and graphs for sporadic groups |
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