能作为有限群的Chermak-Delgado格的拟反链（英文）  

Quasi-antichain as a Chermak-Delgado Lattice of a Finite Group

作　　者：安立坚[1] 崔莉[1] 

机构地区：[1]山西师范大学数学与计算机科学学院,临汾山西041004

出　　处：《数学进展》2015年第5期675-684,共10页Advances in Mathematics（China）

基　　金：supported by NSFC(No.11371232,No.11471198);NSF of Shanxi Province(No.2013011001-1)

摘　　要：设H是有限群G的子群,定义H在G中的Chermak-Delgado度量为|H||C_G(H)|.G的Chermak-Delgado格由G的具有最大Chermak-Delgado度量的子群组成,记作CD(G).Chermak-Delgado格是G的子群格的自对偶子格.本文决定了可以作为有限群的ChermakDelgalo格的拟反链.If G is a finite group with subgroup H, then the Chermak-Delgado measure of H （in G） is defined as ｜H｜｜CG（H）｜. The Chermak-Delgado lattice of G, denoted by CD（G）, is the set of all subgroups with maximal Chermak-Delgado measure; this set is a self-dual sublattice within the subgroup lattice of G. In this paper, we determine which quasi-antichalns axe Chermak-Delgado lattices of a finite group.

关 键 词：子群格 拟反链 有限P群 

分 类 号：O152.1[理学—数学]