PERMUTABLE DIAGONAL-TYPE SUBGROUPS OF $G\times H$

2003Glasgow Mathematical JournalMathematics被引 5开放获取

摘要

Two subgroups $M$ and $S$ of a group $G$ are said to permute , or $M$ permutes with $S$ , if $MS = SM$ . Furthermore, $M$ is a permutable subgroup of $G$ if $M$ permutes with every subgroup of $G$ . In this article, we provide necessary and sufficient conditions for a subgroup of $G\times H$ , whose intersections with the direct factors are normal, to be a permutable subgroup.

引用本文（GB/T 7714）

Joseph Evan. PERMUTABLE DIAGONAL-TYPE SUBGROUPS OF $G\times H$[J]. Glasgow Mathematical Journal, 2003.

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DOI：https://doi.org/10.1017/s0017089502001003

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