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On the orders of generators of capable p-groups
Published online by Cambridge University Press: 17 April 2009
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A group is called capable it if is a central factor group. For each prime p and positive integer c, we prove the existence of a capable p-group of class c minimally generated by an element of order p and an element of order p1+⌊c−1/p−1⌋. This is best possible.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 70 , Issue 3 , December 2004 , pp. 391 - 395
- Copyright
- Copyright © Australian Mathematical Society 2004
References
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