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Conjugacy classes of subgroups in p-groups

Published:1992-12 Issue:3 Volume:53 Page:294-303
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Brandl Rolf

Abstract

AbstractThe set C(G) of conjugacy classes of subgroups of a group G has a natural partial order. We study p-groups G for which C(G) has antichains of prescribed lengths.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference5 articles.

1. On the Möbius function of a finite group

2. The Dilworth number of subgroup lattices

3. �ber die Klassenzahl der bin�ren quadratischen Formen von negativer Discriminante

4. Endliche Gruppen I

5. On the Poset of p -SUBGROUPS of a p -SOLVABLE GROUP

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Conjugacy classes of completely reducible cyclic subgroups of GL(2,q);Communications in Algebra;2023-02-24

2. Finite p-groups;Journal of Mathematical Sciences;1998-02

3. Finite simple groups with few conjugacy classes of subgroups;Japanese journal of mathematics. New series;1992

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