Finite groups with given systems of propermutable subgroups


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Authors

  • Alexander Trofimuk

Keywords:

supersoluble group, propermutable subgroup, saturated formation, factorized groups, Sylow and maximal subgroups

Abstract

Let H be a subgroup of a finite group G. Then we say that H is propermutable in G provided G has a subgroup B such that G = NG(H)B and H permutes with all subgroups of B. In this paper, we present new properties of propermutable subgroups. Also we provide new information on the structure of a group with propermutable Sylow (Hall, maximal) subgroups and a group G = AB with propermutable subgroups A and B.

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Published

2024-04-08

How to Cite

Trofimuk, A. (2024). Finite groups with given systems of propermutable subgroups. Eurasian Mathematical Journal, 15(1). Retrieved from https://emj.enu.kz/index.php/main/article/view/15

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Articles