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[1]李璞金,张丹丹,曾吉文*.P 5 群的Chermak-Delgado格[J].厦门大学学报(自然科学版),2017,56(01):94-96.[doi:10.6043/j.issn.0438-0479.2016.05.001]
　LI Pujin,ZHANG Dandan,ZENG Jiwen.Chermak-Delgado Lattice of P5-groups[J].Journal of Xiamen University(Natural Science),2017,56(01):94-96.[doi:10.6043/j.issn.0438-0479.2016.05.001]
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《厦门大学学报（自然科学版）》[ISSN:0438-0479/CN:35-1070/N]

卷:
56卷
期数:
2017年01期
页码:
94-96
栏目:
研究论文
出版日期:
2017-01-23

文章信息/Info

Title:
Chermak-Delgado Lattice of P5-groups
文章编号:
0438-0479(2017)01-0094-03
作者:
李璞金1; 张丹丹1; 曾吉文2*
1.山西师范大学数学与计算机科学学院,山西 临汾 041004; 2.厦门大学数学科学学院,福建 厦门 361005
Author(s):
LI Pujin1; ZHANG Dandan1; ZENG Jiwen2
1.School of Mathematics and Computer Science,Shanxi Normal University,Linfen 041004,China; 2.School of Mathematical Science,Xiamen University,Xiamen 361005,China
关键词:
有限p群;  子群格;  Chermak-Delgado格
Keywords:
finite p-group;  subgroup lattice;  Chermak-Delgado lattice
分类号:
O 152
DOI:
10.6043/j.issn.0438-0479.2016.05.001
文献标志码:
A
摘要:
简称Chermak-Delgado格为CD格,CD(G)代表群G的CD格. 若|G|=pn,|G:Z(G)|=pi, G∈CD(G),则称G是Pi群.研究了|G:Z(G)|=p5群G的CD格,转化为研究P5群的CD格.确定了P5群的CD格的Hasse图.
Abstract:
In this paper,CD(G)means the Chermak-Delgado lattice of a group G.If |G|=pn,|G:Z(G)|=pi,G∈CD(G),then we assert that G is a Pi-group.In this paper,we give all Hasse graphs of CD(G),where G denotes P5-groups.

参考文献/References:

[1] CHERMAK A,DELGADO A.A measuring argument for finite groups[J].Proc of Amer Math Soc,1989,107(4):907-914.
[2] ISAACS I M.Finite group theory[M].Providence,Rhode Island:American Mathematical Society,2011:1-354.
[3] BREWSTER B,ELIZABETH W.Some groups with computable chermak-delgado lattices[J].Bulletin of the Australian Mathematical Society,2012,86(1):29-40.
[4] BREWSTER B,HAUCK P,ELIZABETH W.Groups whose Chermak-Delgado lattice is a chain[J].Journal of Group Theory,2014,17(2):253-265.
[5] BREWSTER B,HAUCK P,ELIZABETH W.Quasi-antichain Chermak-Delgado lattices of finite groups[J].Arch Math(Basel),2014,103(4):301-311.
[6] AN L J,BRENNAN J P,QU H P,et al.Chermak-Delgado lattice extension theorems[J].Comm Algebra,2015,43(5):2201-2213.
[7] 王坚.有限群的Chermak-Delgado格与Brauer特征标[D].厦门:厦门大学,2014:1-70.

备注/Memo

备注/Memo:
收稿日期:2016-01-15 录用日期:2016-09-20
基金项目:国家自然科学基金(11471198,11526130)
*通信作者:jwzeng@xmu.edu.cn
更新日期/Last Update: 1900-01-01