Finite Groups Whose <Emphasis Type="Italic">n</Emphasis>-Maximal Subgroups Are Modular |
| |
Authors: | J Huang B Hu X Zheng |
| |
Institution: | 1.School of Mathematics and Statistics Jiangsu Normal University,Xuzhou,P. R. China |
| |
Abstract: | Let G be a finite group. If Mn< Mn?1< · · · < M1< M0 = G with Mi a maximal subgroup of Mi?1 for all i = 1,..., n, then Mn (n > 0) is an n-maximal subgroup of G. A subgroup M of G is called modular provided that (i) 〈X,M ∩ Z〉 = 〈X,M〉 ∩ Z for all X ≤ G and Z ≤ G such that X ≤ Z, and (ii) 〈M,Y ∩ Z〉 = 〈M,Y 〉 ∩ Z for all Y ≤ G and Z ≤ G such that M ≤ Z. In this paper, we study finite groups whose n-maximal subgroups are modular. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|