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Some group laws equivalent to the commutative law
Published online by Cambridge University Press: 17 April 2009
Abstract
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In this paper we prove the Theorem: A group satisfying the law (1) [x, y] = [u, v, w], where u, v, w are the entries from the set {x, x-1, y, y-1} is always abelian. Earlier a few cases of this theorem were proved by Gupta. It is also proved that a group satisfying the law = [x, y, x] is always abelian.
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- Copyright © Australian Mathematical Society 1970
References
[1]Gupta, N.D., “Some group-laws equivalent to the commutative law”, Arch. Math. 17 (1966), 97–102.CrossRefGoogle Scholar
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