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- W4361215400 abstract "Abstract A classical result of Baer states that a finite group G which is the product of two normal supersoluble subgroups is supersoluble if and only if G ʹ is nilpotent. In this article, we show that if G = AB is the product of supersoluble (respectively, w -supersoluble) subgroups A and B , A is normal in G and B permutes with every maximal subgroup of each Sylow subgroup of A , then G is supersoluble (respectively, w -supersoluble), provided that G ʹ is nilpotent. We also investigate products of subgroups defined above when $ Acap B=1 $ and obtain more general results." @default.
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- W4361215400 date "2023-02-01" @default.
- W4361215400 modified "2023-09-30" @default.
- W4361215400 title "On some products of finite groups" @default.
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- W4361215400 doi "https://doi.org/10.1017/s0013091523000044" @default.
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