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2-groups of almost maximal class

Published online by Cambridge University Press:  09 April 2009

Rodney James
Rodney James
Affiliation:
The University of New South WalesSydney, Australia
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Let G be a group of order 2n and x, y ∈ G. We define the Commutator [x, y] as x−1y−1xy. Similarly, if X, Y are subsets of G, then [X, Y] denotes the sub-group genrated by all commutators of the form [x, y] where x ∈ X, y ∈ Y. Using this, we may define the lower central series of G inductively by The following results are well known.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 19 , Issue 3 , May 1975 , pp. 343 - 357
Copyright
Copyright © Australian Mathematical Society 1975

References

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