A four-group of automorphisms with a small number of fixed points

Shumyatskii, P. V.

doi:10.1007/bf02018743

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Lemma (A) [Li Lj] C_ Li+j Where I + J Is Taken Modn;1

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1994

1999

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Cited by 4 publications

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“…By the initial remark, all ideals A w are soluble of derived length < k(n), and hence their direct sum L (k(n)) is also soluble of derived length _< k(n). [] with a regular non-cyclic group of automorphisms of order 4 is soluble (G. Glauberman obtained a proof of this fact without using the Feit-Thompson theorem) and has nilpotent derived subgroup (S. F. Bauman, [3]) of class bounded in terms of the derived length (P. Shumyatsky, [107]). …”

Section: Lemma (A) [Li Lj] C_ Li+j Where I + J Is Taken Modn;mentioning

confidence: 97%