On some products of finite groups

نویسندگان

چکیده

Abstract A classical result of Baer states that a finite group G which is the product two normal supersoluble subgroups if and only ʹ nilpotent. In this article, we show = AB (respectively, w -supersoluble) B , in permutes with every maximal subgroup each Sylow then -supersoluble), provided We also investigate products defined above when $ A\cap B=1 obtain more general results.

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ژورنال

عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society

سال: 2023

ISSN: ['1464-3839', '0013-0915']

DOI: https://doi.org/10.1017/s0013091523000044