|
Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 3, Pages 510–526
(Mi smj1086)
|
|
|
|
This article is cited in 31 scientific papers (total in 31 papers)
On recognition of the finite simple orthogonal groups of dimension $2^m$, $2^m+1$ and $2^m+2$ over a field of characteristic 2
A. V. Vasil'eva, M. A. Grechkoseevab a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Novosibirsk State University, Mechanics and Mathematics Department
Abstract:
The spectrum $\omega(G)$ of a finite group $G$ is the set of element orders of $G$. A finite group $G$ is said to be recognizable by spectrum (briefly, recognizable) if $H\simeq G$ for every finite group $H$ such that $\omega(H)=\omega(G)$. We give two series, infinite by dimension, of finite simple classical groups recognizable by spectrum.
Keywords:
recognition by spectrum, finite orthogonal group.
Received: 29.12.2003
Citation:
A. V. Vasil'ev, M. A. Grechkoseeva, “On recognition of the finite simple orthogonal groups of dimension $2^m$, $2^m+1$ and $2^m+2$ over a field of characteristic 2”, Sibirsk. Mat. Zh., 45:3 (2004), 510–526; Siberian Math. J., 45:3 (2004), 420–432
Linking options:
https://www.mathnet.ru/eng/smj1086 https://www.mathnet.ru/eng/smj/v45/i3/p510
|
Statistics & downloads: |
Abstract page: | 594 | Full-text PDF : | 157 | References: | 76 |
|