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Elements of minimal breadth in finite p-groups and lie algebras

Part of: Lie algebras and Lie superalgebras Representation theory of groups Structure and classification of infinite or finite groups

Published online by Cambridge University Press:  09 April 2009

Avinoam Mann
Avinoam Mann
Affiliation:
Institute of Mathematics, Hebrew University, Jerusalem 91904, Israel, e-mail: mann@math.huji.ac.il
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Abstract

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Let G be a finite p-group, and let M(G) be the subgroup generated by the non-central conjugacy classes of G of minimal size. We prove that this subgroup has class at most 3. A similar result is noted for nilpotent Lie algebras.

MSC classification

Secondary: 20D15: Nilpotent groups, $p$-groups 20E45: Conjugacy classes 17B30: Solvable, nilpotent (super)algebras
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 81 , Issue 2 , October 2006 , pp. 209 - 214
Copyright
Copyright © Australian Mathematical Society 2006

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