ON RECOGNITION OF THE PROJECTIVE SPECIAL LINEAR GROUPS OVER BINARY FIELD

被引：0

作者：

Grechkoseeva, M. A. ^{[1
]}

Lucido, M. S. ^{[2
]}

Mazurov, V. D. ^{[3
]}

Moghaddamfar, A. R. ^{[4
]}

Vasil'ev, A. V. ^{[3
]}

机构：

[1] Novosibirsk State Univ, Pirogova St 2, Novosibirsk 630090, Russia

[2] Univ Udine, Udine, Italy

[3] Sobolev Inst Math, Novosibirsk 630090, Russia

[4] KN Toosi Univ Technol, Dept Math, Fac Sci, Tehran, Iran

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2005年 / 2卷

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The spectrum omega(G) of a finite group G is the set of element orders of G. Let L be the projective special linear group L-n(2) with n >= 3. First, for all n >= 3 we establish that every finite group G with omega(G) = omega(L) has a unique non-abelian composition factor and this factor is isomorphic to L. Second, for some special series of integers n we prove that L is recognizable by spectrum, i. e. every finite group G with omega(G) = omega(L) is isomorphic to L.

引用

页码：253 / 263

页数：11

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