The Spread of Almost Simple Classical Groups
Produktnummer:
18a4b29af15fa94093beae2572a85239ab
| Autor: | Harper, Scott |
|---|---|
| Themengebiete: | 3/2-Generation Almost Simple Groups Classical Groups Fixed Point Ratios Generating Graph Maximal Overgroups Shintani Descent Uniform Spread |
| Veröffentlichungsdatum: | 26.05.2021 |
| EAN: | 9783030740993 |
| Sprache: | Englisch |
| Seitenzahl: | 154 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer International Publishing |
Produktinformationen "The Spread of Almost Simple Classical Groups"
This monograph studies generating sets of almost simple classical groups, by bounding the spread of these groups. Guralnick and Kantor resolved a 1962 question of Steinberg by proving that in a finite simple group, every nontrivial element belongs to a generating pair. Groups with this property are said to be 3/2-generated. Breuer, Guralnick and Kantor conjectured that a finite group is 3/2-generated if and only if every proper quotient is cyclic. We prove a strong version of this conjecture for almost simple classical groups, by bounding the spread of these groups. This involves analysing the automorphisms, fixed point ratios and subgroup structure of almost simple classical groups, so the first half of this monograph is dedicated to these general topics. In particular, we give a general exposition of Shintani descent. This monograph will interest researchers in group generation, but theopening chapters also serve as a general introduction to the almost simple classical groups.
Sie möchten lieber vor Ort einkaufen?
Sie haben Fragen zu diesem oder anderen Produkten oder möchten einfach gerne analog im Laden stöbern? Wir sind gerne für Sie da und beraten Sie auch telefonisch.
Juristische Fachbuchhandlung
Georg Blendl
Parcellistraße 5 (Maxburg)
8033 München
Montag - Freitag: 8:15 -18 Uhr
Samstags geschlossen