Finite groups in which every maximal invariant subgroup of order divisible by p is nilpotent
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Jiangtao Shi
,
Mengjiao Shan
Abstract
Let A and G be finite groups such that A acts coprimely on G by automorphisms. For any fixed prime divisor p of
Funding source: Natural Science Foundation of Shandong Province
Award Identifier / Grant number: ZR2017MA022
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11761079
Funding statement: This work was supported by the Natural Science Foundation of Shandong Province (ZR2017MA022), the National Natural Science Foundation of China (11761079) and the Graduate Innovation Foundation of Yantai University (KGIFYTU2507).
Acknowledgements
The authors are very thankful to the referee who provides us valuable comments for improving this paper.
References
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