关于Sylow子群与B-子群的导出子群的置换性

Q4 Mathematics

Zhurnal Belorusskogo Gosudarstvennogo Universiteta. Matematika. Informatika Pub Date : 2019-04-26 DOI:10.33581/2520-6508-2019-1-12-17

E. V. Zubei

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引用次数: 0

摘要

有限非幂零群G称为B-群，如果商群G/Φ（G）的每个子群都是幂零的。我们建立了一些Sylow r子群与偶数阶2-幂零（或2-闭）B-子群的导出子群置换的群的r可解性，以及偶数阶2-闭和2-幂零B-子群的派生子群可置换的群。

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On the permutability of Sylow subgroups with derived subgroups of B-subgroups

A finite non-nilpotent group G is called a B-group if every proper subgroup of the quotient group G/Φ(G) is nilpotent. We establish the r-solvability of the group in which some Sylow r-subgroup permutes with the derived subgroups of 2-nilpotent (or 2-closed) B-subgroups of even order and the solvability of the group in which the derived subgroups of 2-closed and 2-nilpotent B-subgroups of even order are permutable.

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来源期刊

Zhurnal Belorusskogo Gosudarstvennogo Universiteta. Matematika. Informatika Mathematics-Algebra and Number Theory

CiteScore

0.50

自引率

0.00%

发文量

审稿时长

16 weeks