Some new characterizations of finite p-nilpotent groups

Author:

Xie Fengyan1,Li Jinbao2

Affiliation:

1. School of Computer Science and Mathematics, Anyang University , Anyang 455000 , China

2. Department of Mathematics, Suqian University , Jiangsu 223800 , China

Abstract

Abstract In this article, some new sufficient conditions of p-nilpotency of finite groups are obtained by using c-normality and Φ-supplementary of the maximal or the 2-maximal subgroups of the Sylow p-subgroups.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference13 articles.

1. O. Kegel, Produkte nilpotenter gruppen, Arch. Math. (Basel) 12 (1961), 90–93, https://doi.org/10.1007/bf01650529.

2. O. Kegel, On Huppert’s characterization of finite supersoluble groups, In: Proceedings of the International Conference on Theory Groups (Canberra, 1965), New York, 1967, pp. 209–215.

3. Y. Wang, C-normality of groups and its properties, J. Algebra 180 (1996), no. 3, 954–965, https://doi.org/10.1006/jabr.1996.0103.

4. Q. Yu, The Influence of the Properties of Local Finite Subgroups on the Structure of Finite Groups, Nanjing University Press, Nanjing, 2012.

5. D. Li and X. Guo, The influence of c-normality of subgroups on the structure of finite groups, J. Pure Appl. Algebra 150 (2000), no. 1, 53–60, https://doi.org/10.1016/s0022-4049(99)00042-0.

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