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2 results

  • THE $c$-SUPPLEMENTED PROPERTY OF FINITE GROUPS

  • Huaquan Wei, Yanming Wang
  • Journal:
    Proceedings of the Edinburgh Mathematical Society / Volume 50 / Issue 2 / June 2007
    Published online by Cambridge University Press:
    17 May 2007, pp. 493-508
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  • The purpose of this paper is to study the influence of $c$-supplemented minimal subgroups on the $p$-nilpotency of finite groups. We obtain ‘iff' and ‘localized' versions of theorems of Itô and Buckley on nilpotence, $p$-nilpotence and supersolvability.

  • On Supersolvable Groups and a Theorem of Huppert

  • N. P. Mukherjee, Prabir Bhattacharya
  • Journal:
    Canadian Mathematical Bulletin / Volume 33 / Issue 3 / 01 September 1990
    Published online by Cambridge University Press:
    20 November 2018, pp. 314-315
    Print publication:
    01 September 1990
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  • We obtain the following generalization of a well known result of Huppert. If p is the largest primer divisor of the order of a finite group G and q is any prime distinct from p, then G is supersolvable if and only if every maximal subgroup whose index is relatively prime to either p or q, has prime index.