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Lattice embeddings of prime power groups

Published online by Cambridge University Press:  09 April 2009

D. W. Barnes
D. W. Barnes
Affiliation:
Universität Tübingen, Germany
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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.

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 2 , Issue 1 , April 1961 , pp. 17 - 34
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), 541–560.CrossRefGoogle Scholar
[3]Lazard, M., Sur les groupes nilpotents et les anneaux de Lie, Ann. Sc. de l'École Normale Supérieure (1954), 101–190.CrossRefGoogle Scholar
[4]Hall, P., A contribution to the theory of groups of prime-power order, Proc. London Math. Soc. (2) 36 (1933), 29–95.Google Scholar
[5]Wall, G. E., Some applications of the Eulerian functions of a finite group (submitted to this Journal).Google Scholar