|
This article is cited in 54 scientific papers (total in 54 papers)
Characterization of the finite simple groups by spectrum and order
A. V. Vasil'evab, M. A. Grechkoseevaab, V. D. Mazurovab a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Abstract:
We give an affirmative answer to Question 12.39 in the Kourovka Notebook. Namely, it is proved that a finite simple group and a finite group having equal orders and same sets of element orders are isomorphic.
Keywords:
finite group, simple group, element orders, recognizability by spectrum and order, symplectic group, orthogonal group.
Received: 05.08.2009
Citation:
A. V. Vasil'ev, M. A. Grechkoseeva, V. D. Mazurov, “Characterization of the finite simple groups by spectrum and order”, Algebra Logika, 48:6 (2009), 685–728; Algebra and Logic, 48:6 (2009), 385–409
Linking options:
https://www.mathnet.ru/eng/al420 https://www.mathnet.ru/eng/al/v48/i6/p685
|
Statistics & downloads: |
Abstract page: | 858 | Full-text PDF : | 224 | References: | 126 | First page: | 25 |
|