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On M-groups with Sylow towers

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Abstract

Using the theory of linear limits due to Dade and Loukaki, we present a useful criterion for a class of finite solvable groups (including groups with Sylow towers) to be M-groups. As applications, we determine the monomiality of normal subgroups and Hall subgroups of such groups.

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Authors and Affiliations

  1. School of Mathematical Sciences, Shanxi University, Taiyuan, 030006, People’s Republic of China

    Xuewu Chang, Huijuan Zheng & Ping Jin

Authors
  1. Xuewu Chang
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  2. Huijuan Zheng
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  3. Ping Jin
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Corresponding author

Correspondence to Ping Jin.

Additional information

Supported by the NSF of China (No. 11171194).

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Chang, X., Zheng, H. & Jin, P. On M-groups with Sylow towers. Arch. Math. 105, 519–528 (2015). https://doi.org/10.1007/s00013-015-0833-7

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  • DOI: https://doi.org/10.1007/s00013-015-0833-7

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