Some Criteria for p-Supersolvability of a Finite Group

Abstract

A subgroup H of a finite group G is said to be S-semipermutable in G if H permutes with all Sylow q-subgroups of G for the primes q not dividing the order of H. Some criteria for p-supersolvability of a finite group are given, which are the generalizations of many recent results.

Keywords

p-Supersolvability / S-semipermutable subgroup / S-permutable subgroup

References

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Funding

National Natural Science Foundation of China(11271085)

Natural Science Foundation Guangdong Province (CHINA)(2015A030313791)

The Innovative Team Project of Guangdong Province (CHINA)(2014KTSCX196)