Almost recognizability by spectrum of finite simple linear groups of prime dimension

Grechkoseeva M.A.; Lytkin D.V.

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Almost recognizability by spectrum of finite simple linear groups of prime dimension

机译：素数的有限简单线性群的频谱几乎可识别

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摘要

The spectrum of a group is the set of its element orders. Let L = PSL _n(q), where n is a prime greater than 3. We show that every finite group whose spectrum is the same as the spectrum of L is isomorphic to an extension of L by a subgroup of the outer automorphism group of L.

机译：组的频谱是其元素顺序的集合。令L = PSL _n（q），其中n是大于3的素数。我们证明，其频谱与L的谱相同的每个有限组都是同构的，其中L由外部自同构组的一个子组扩展为L L.

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《Siberian Mathematical Journal》 |2012年第4期|共11页
作者
Grechkoseeva M.A.; Lytkin D.V.;
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正文语种 eng
中图分类数学;
关键词
prime graph; quasirecognizability by spectrum; simple linear group;

机译：素图;频谱准可识别性;简单线性群;

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1. Almost recognizability by spectrum of finite simple linear groups of prime dimension [J] . Grechkoseeva M.A., Lytkin D.V. Siberian Mathematical Journal . 2012,第4期

机译：素数的有限简单线性群的频谱几乎可识别
2. Element Orders in Coverings of Finite Simple Linear and Unitary Groups and Recognizability of L_n(2) by Spectrum [J] . A. V. Zavarilitsine, V. D. Mazurov Doklady. Mathematics . 2006,第1期

机译：有限简单线性和Unit群的覆盖中的元素顺序和L_n（2）的频谱识别性
3. Recognition by spectrum for finite simple linear groups of small dimensions over fields of characteristic 2 [J] . A. V. Vasilyev, M. A. Grechkoseeva Algebra and logic . 2008,第5期

机译：通过谱识别特征2的场上的小尺寸有限简单线性组
4. ON FINITE GROUPS WITH SMALL PRIME SPECTRUM [C] . ANATOLY S. KONDRATIEV, IGOR V. KHRAMTSOV Groups St Andrews Theory Conference . 2015

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8. Linear and Bilinear Infinite-Dimensional Representations of Finite-Dimensional Nonlinear Systems [R] . Banks, S. P., Ashtiani, A. 1984

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Almost recognizability by spectrum of finite simple linear groups of prime dimension

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