Zhejiang Daxue xuebao. Lixue ban (Nov 2019)

Finite groups with X - ss -semipermutable subgroups of order p2(P2-阶子群X-ss-半置换的有限群)

XIEFengyan(谢凤艳)

Affiliations

XIEFengyan(谢凤艳): ORCiD; School of Mathematics and Science, Anyang University, Anyang 455000, Henan Province, China(安阳学院数理学院，河南安阳 455000)

DOI: https://doi.org/10.3785/j.issn.1008-9497.2019.06.002
Journal volume & issue: Vol. 46, no. 6
pp. 656 – 659

Abstract

设G 是有限群，X 是G 的一个非空子集，子群H 称为在G 中X - ss - 半置换，若H 在G 中有补充子群T，对于T 的任意Sylowp-子群P，只要（p，|H|）= 1，就存在x ∈ X 使得HPx = PxH。通过对p2-阶子群的X - ss - 半置换性研究，得到了p-幂零群的新判断。

Published in Zhejiang Daxue xuebao. Lixue ban

ISSN: 1008-9497 (Print)
Publisher: Zhejiang University Press
Country of publisher: China
LCC subjects: Science: Mathematics: Instruments and machines: Electronic computers. Computer science; Science: Physics
Website: https://www.zjujournals.com/sci/EN/1008-9497/home.shtml

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