A note on commutators in free products. II
Published online by Cambridge University Press: 24 October 2008
Extract
The purpose of this note is to improve Theorem 1·1 of (1) to the following result:
Theorem 1. Let H be the ordinary free product of a sequence of groups Gn, and let m be any integer > 0. If
where each gi є Gi and is not the identity, then h is not equal to any product of fewer than m commutators from H.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 51 , Issue 2 , April 1955 , pp. 245 - 251
- Copyright
- Copyright © Cambridge Philosophical Society 1955
References
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