Hostname: page-component-848d4c4894-pftt2 Total loading time: 0 Render date: 2024-04-30T15:24:01.892Z Has data issue: false hasContentIssue false

Lattice embeddings of prime power groups

Published online by Cambridge University Press:  09 April 2009

D. W. Barnes
Affiliation:
Universität Tübingen, Germany
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let G be a group of order pn where p is some prime. Denote by nr (G) the number of subgroups of G of order pr. If H is the elementary abelian group of order pn, then.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1961

References

[1]Suzuki, M., Structure of a group and the structure of its lattice of subgroups. (Springer, 1956).CrossRefGoogle Scholar
[2]Jones, A. W., The lattice isomorphisms of certain finite groups, Duke Math. J. 12 (1945), 541560.CrossRefGoogle Scholar
[3]Lazard, M., Sur les groupes nilpotents et les anneaux de Lie, Ann. Sc. de l'École Normale Supérieure (1954), 101190.CrossRefGoogle Scholar
[4]Hall, P., A contribution to the theory of groups of prime-power order, Proc. London Math. Soc. (2) 36 (1933), 2995.Google Scholar
[5]Wall, G. E., Some applications of the Eulerian functions of a finite group (submitted to this Journal).Google Scholar