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Conjugacy classes of subgroups in p-groups

Part of: Representation theory of groups

Published online by Cambridge University Press:  09 April 2009

Rolf Brandl
Rolf Brandl
Affiliation:
Mathematisches InstitutAm Hubland 12 D-8700 Würzburg, West Germany
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Abstract

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The 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.

MSC classification

Secondary: 20D15: Nilpotent groups, $p$-groups 20D30: Series and lattices of subgroups 20D60: Arithmetic and combinatorial problems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 53 , Issue 3 , December 1992 , pp. 294 - 303
Copyright
Copyright © Australian Mathematical Society 1992

References

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