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

Huilong Gu,Jiao Li,Huaquan Wei,Liying Yang

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES（2020）

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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 using the Wielandt lenghts of Sylow p -subgroups of A and B , we present a new bound of the p -length of G . Some known results are improved.

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关键词

p -Soluble,p -length

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