有限群中的集合Kp

IF 0.3 Q4 MECHANICS

Vestnik Tomskogo Gosudarstvennogo Universiteta-Matematika i Mekhanika-Tomsk State University Journal of Mathematics and Mechanics Pub Date : 2023-01-01 DOI:10.17223/19988621/81/1

A. I. Zabarina, E. A. Fomina

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引用次数: 0

摘要

继续研究了由非阿贝尔群的元素与群G的恰好p个元素交换的集合Kp的性质。特别地，这个问题被考虑为p1p2…Pk, k≥3,p2q，其中r, q为素数。并证明了集合K5在三维射影特殊线性群中的非空性。该组与交替组A8具有相同的顺序，其中集合K5为空。

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The set Kp in some finite groups

The study of the properties of the set Kp consisting of elements of a non-Abelian group that commute with exactly p elements of the group G is continued. In particular, this question is considered for groups of order p1p2...pk, k ≥ 3 and p2q, where рі, q are prime numbers. It is also proved that the set K5 is non-empty in the three-dimensional projective special linear group. This group has the same order as the alternating group A8, in which the set K5 is empty.

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来源期刊

Vestnik Tomskogo Gosudarstvennogo Universiteta-Matematika i Mekhanika-Tomsk State University Journal of Mathematics and Mechanics MECHANICS-

CiteScore

0.90

自引率

66.70%

发文量