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On the \({{\varvec{p}}}\)-length of the mutually permutable product of two \({{\varvec{p}}}\)-soluble groups

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Abstract

Let a finite group \(G=AB\) be the mutually permutable product of two p-soluble subgroups A and B for some prime p. We give a bound of the p-length of G from the p-lengths of A and B.

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References

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Authors and Affiliations

  1. Mathematics Department, School of Mathematical Science, The Australian National University, Canberra, 2601, Australia

    John Cossey

  2. Department of Mathematics, Guangdong University of Education, Guangzhou, 510310, People’s Republic of China

    Yangming Li

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  1. John Cossey
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  2. Yangming Li
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Correspondence to Yangming Li.

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Cossey, J., Li, Y. On the \({{\varvec{p}}}\)-length of the mutually permutable product of two \({{\varvec{p}}}\)-soluble groups. Arch. Math. 110, 533–537 (2018). https://doi.org/10.1007/s00013-018-1150-8

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  • DOI: https://doi.org/10.1007/s00013-018-1150-8

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