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2011•Yingyong shuxue yu jisuan shuxue xuebaoRequires access

Weakly normal subgroups and p-nilpotency of finite groups

Xiuyun Guo

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Abstract

The structure of a finite group G under the assumption that certain subgroups of prime power order are weakly normal in G is investigated.Some conditions for a finite group to be p-nilpotent and supersolvable are given.

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What this paper is about

The structure of a finite group G under the assumption that certain subgroups of prime power order are weakly normal in G is investigated.Some conditions for a finite group to be p-nilpotent and supersolvable are given.

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Available abstract

The structure of a finite group G under the assumption that certain subgroups of prime power order are weakly normal in G is investigated.Some conditions for a finite group to be p-nilpotent and supersolvable are given.

Key concepts: Mathematics, Nilpotent, Nilpotent group, Locally finite group, Prime (order theory), Pure mathematics, Finite group, Order (exchange)

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