Groups with finitely many isomorphism classes of non-modular subgroups

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2024-09-03 DOI:10.1016/j.jalgebra.2024.08.030

Fausto De Mari

引用次数: 0

Abstract

Groups in which the non-moduar subgroups fall into finitely many isomorphism classes are considered, and it is proved that a (generalized) soluble group with this property either has modular subgroup lattice or is a minimax group. The corresponding result for (generalized) soluble groups with finitely many isomorphism classes of non-permutable subgroups is also obtained.

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具有有限多个非模态子群同构类的群

研究考虑了非模数子群分为有限多个同构类的群，并证明了具有这种性质的（广义）可解群要么具有模数子群网格，要么是最小群。对于具有有限多个非可变子群同构类的（广义）可解群，也得到了相应的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Algebra 数学-数学

CiteScore

1.50

自引率

22.20%

发文量

414

审稿时长

2-4 weeks

期刊介绍： The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.