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- W2964100983 abstract "Abstract Let p be a prime. Every finite group G has a normal series each of whose quotients either is p -soluble or is a direct product of nonabelian simple groups of orders divisible by p . The non- p -soluble length λ p ( G ) is defined as the minimal number of non- p -soluble quotients in a series of this kind. We deal with the question whether, for a given prime p and a given proper group variety , there is a bound for the non- p -soluble length λ p of finite groups whose Sylow p -subgroups belong to . Let the word w be a multilinear commutator. In this paper we answer the question in the affirmative in the case where p is odd and the variety is the one of groups satisfying the law w e ≡ 1." @default.
- W2964100983 created "2019-07-30" @default.
- W2964100983 creator A5042273388 @default.
- W2964100983 creator A5083299644 @default.
- W2964100983 date "2015-02-13" @default.
- W2964100983 modified "2023-09-27" @default.
- W2964100983 title "Nonsoluble length of finite groups with commutators of small order" @default.
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- W2964100983 doi "https://doi.org/10.1017/s0305004115000080" @default.
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