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This article is cited in 13 scientific papers (total in 13 papers)
Recognizing Groups $G_2(3^n)$ by Their Element Orders
A. V. Vasil'ev Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
It is proved that a finite group that is isomorphic to a simple non-Abelian group $G=G_2(3^n)$ is, up to isomorphism, recognized by a set $\omega(G)$ of its element orders, that is, $H \simeq G$ if $\omega(H)=\omega(G)$ for some finite group $H$.
Keywords:
finite group, simple non-Abelian group, recognizability of groups by their element orders.
Received: 31.07.2000
Citation:
A. V. Vasil'ev, “Recognizing Groups $G_2(3^n)$ by Their Element Orders”, Algebra Logika, 41:2 (2002), 130–142; Algebra and Logic, 41:2 (2002), 74–80
Linking options:
https://www.mathnet.ru/eng/al176 https://www.mathnet.ru/eng/al/v41/i2/p130
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Abstract page: | 559 | Full-text PDF : | 140 | References: | 85 | First page: | 1 |
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