On certain products of permutable subgroups

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Authors

Ballester-Bolinches, A.
Mudziiri Shumba, T.M.
Pedraza-Aguilera, M.C.

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Cambridge University Press

Abstract

In this paper, we study the structure of finite groups G=AB which are a weakly mutually sn -permutable product of the subgroups A and B, that is, A permutes with every subnormal subgroup of B containing A∩B and B permutes with every subnormal subgroup of A containing A∩B . We obtain generalisations of known results on mutually sn -permutable products.

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Keywords

Mutually sn-permutable subgroups, Supersoluble groups, Widely supersoluble groups

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Citation

Ballester-Bolinches, A., Madanha, S.Y., Mudziiri Shumba, T.M. & Pedraza-Aguilera, M.C. (2022) “On certain products of permutable subgroups,” Bulletin of the Australian Mathematical Society. Cambridge University Press, 105(2), pp. 278–285. doi: 10.1017/S0004972721000617.