Name
Abstract | ||
|---|---|---|
We prove a conjecture of Bauer, Catanese and Grunewald showing that all finite simple groups other than the alternating group of degree 5 admit unmixed Beauville structures. We also consider an analog of the result for simple algebraic groups which depends on some upper bounds for character values of regular semisimple elements in finite groups of Lie type. Finally, we prove that any finite simple group contains two conjugacy classes C and D such that any pair of elements in C x D generates the group. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1112/jlms/jdr062 | JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES |
Keywords | Field | DocType |
representation theory,group theory,upper bound,alternating group,algebraic group,algebraic geometry,conjugacy class,simple group | Topology,Combinatorics,Simple Lie group,Classification of finite simple groups,Symmetric group,Mathematical analysis,Group theory,Representation theory,Group of Lie type,Mathematics,Simple group,Alternating group | Journal |
Volume | Issue | ISSN |
85 | 3 | 0024-6107 |
Citations | PageRank | References |
2 | 1.12 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Robert M. Guralnick | 1 | 11 | 3.65 |
| Gunter Malle | 2 | 28 | 9.42 |