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A note on regular metabelian groups of prime-power order
Published online by Cambridge University Press: 17 April 2009
Abstract
Let p be a prime and d, e positive integers. We prove that a regular d-generator metabelian p-group whose commutator subgroup has exponent pe has nilpotency class at most e(p – 2) + 1 unless e = 1, d > 2, p > 2 when the class can be p and these bounds are best possible.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 46 , Issue 2 , October 1992 , pp. 343 - 346
- Copyright
- Copyright © Australian Mathematical Society 1992
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