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- W2041057878 abstract "Let G be a finite group and G 1 , G 2 are two subgroups of G . We say that G 1 and G 2 are mutually permutable if G 1 is permutable with every subgroup of G 2 and G 2 is permutable with every subgroup of G 1 . We prove that if is the product of three supersolvable subgroups G 1 , G 2 , and G 3 , where G i and G j are mutually permutable for all i and j with and the Sylow subgroups of G are abelian, then G is supersolvable. As a corollary of this result, we also prove that if G possesses three supersolvable subgroups whose indices are pairwise relatively prime, and G i and G j are mutually permutable for all i and j with , then G is supersolvable." @default.
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- W2041057878 date "2011-09-07" @default.
- W2041057878 modified "2023-09-30" @default.
- W2041057878 title "Mutually Permutable Products of Finite Groups" @default.
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- W2041057878 doi "https://doi.org/10.5402/2011/867082" @default.
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