Simultaneous representations of groups
✍ Scribed by Jiří Vinárek
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 294 KB
- Volume
- 108
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
For any finite sequence of groups G,, c C, E . . E G, there exists an undirected graph (V, E) such that for every i = 0, 1, , n, G, is isomorphic to the automorphism group Aut(V, t'E)
📜 SIMILAR VOLUMES
2 g l Ž . Ž . which are not conjugate, even in GL Q , to a subgroup of Sp Z . 2 g l 2 g l Ž . However, it turns out and this is the main result of this paper that every 1 Silverberg thanks NSA and the Alexander-von-Humboldt Stiftung for financial support, and H. Lange and the Mathematics Institute
Let G be a finite elementary abelian p-group. Given a 2-cocycle ␣ of G over the field of complex numbers, we show how to construct an irreducible projective representation of G with 2-cocycle in the cohomology class of ␣. Let S be a 2 ## Ž . subgroup of G of index dividing p . Then we also count