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Normal complements for finite groups under coprime action
Communications in Algebra ( IF 0.6 ) Pub Date : 2020-12-07 Hangyang Meng
中文翻译:
互素作用下有限群的正态补语
更新日期:2020-12-07
Communications in Algebra ( IF 0.6 ) Pub Date : 2020-12-07 Hangyang Meng
Abstract
Let a finite group A act on a finite group G via automorphism with and let H be a Hall subgroup of G. We prove that if H is a subgroup of having a normal complement in then H has a normal complement in G.
中文翻译:
互素作用下有限群的正态补语
摘要
让一个有限群A通过自同构作用于一个有限群G并让H为G的霍尔子群。我们证明如果H是以下子集 具有正常的补体 然后ħ具有在正常补体ģ。