Journal of the Australian Mathematical Society
- Journal of the Australian Mathematical Society / Volume 81 / Issue 02 / October 2006, pp 209-214
- Copyright © Australian Mathematical Society 2006
- DOI: http://dx.doi.org/10.1017/S1446788700015834 (About DOI), Published online: 09 April 2009
Research Article
Elements of minimal breadth in finite p-groups and lie algebras
Avinoam Manna1
a1 Institute of Mathematics, Hebrew University, Jerusalem 91904, Israel, e-mail: mann@math.huji.ac.il
Abstract
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.
(Received February 04 2005)
(Revised May 15 2005)
2000 Mathematics subject classification
- primary 20D15;
- 20E45;
- 17B30
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