2-groups of almost maximal class

Rodney James

doi:10.1017/S1446788700031554

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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.

References

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Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

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2-groups of almost maximal class

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