A note on p-nilpotence and solvability of finite groups

Jiangtao Shi,Wujie Shi,Cui Zhang

doi:10.1016/j.jalgebra.2008.12.004

A note on p-nilpotence and solvability of finite groups

Jiangtao Shi, Wujie Shi + Show 1 more

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https://doi.org/10.1016/j.jalgebra.2008.12.004

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Journal: Journal of Algebra	Publication Date: Dec 23, 2008
Citations: 13	License type: elsevier-specific: oa user license

Affiliation: Quzhou University, Beijing Jiaotong University

#Solubility Of Finite Groups #Solvability Of Finite Groups + Show 1 more

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Abstract

In this note, we first give some examples to show that some hypotheses of some well-known results for a group G to be p-nilpotent, solvable and supersolvable are essential and cannot be removed. Second, we give some generalizations of two theorems in [A. Ballester-Bolinches, X. Guo, Some results on p-nilpotence and solubility of finite groups, J. Algebra 228 (2000) 491–496].

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