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A note on regular metabelian groups of prime-power order

Published online by Cambridge University Press:  17 April 2009

M.F. Newman  and
Ming-Yao Xu
M.F. Newman
Affiliation:
Mathematics Research Section, School of Mathematical Sciences, Australian National University, GPO Box 4, Canberra ACT 2601, Australia
Ming-Yao Xu
Affiliation:
Institute of Mathematics, Peking University, Beijing 100871, People's Republic of China
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Abstract

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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

References

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