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Two theorems on Engel groups

Published online by Cambridge University Press:  24 October 2008

K. W. Gruenberg
K. W. Gruenberg
Affiliation:
Trinity CollegeCambridge
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Extract

Let G be a group and let us write [x, y] = x−1y−1xy. We shall say that G is an Engel group, or that it satisfies the Engel condition, if to any pair of elements x, y in G there can be assigned an integer k (which is allowed to depend on x, y) such that

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 49 , Issue 3 , July 1953 , pp. 377 - 380
Copyright
Copyright © Cambridge Philosophical Society 1953

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References

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