A note on the p-length of a p-soluble group

Huaquan Wei, Jiao Li,Huilong Gu,Yangming Li,Liying Yang

ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS（2023）

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摘要

Suppose that the finite group G = AB is a mutually permutable product of two p-soluble subgroups A and B. By use of several invariant parameters of A and B, we present some bounds of the p-length of G. Some known results are improved.

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关键词

p-soluble, p-length, lower p -series, mutually permutable product.

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