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arXiv:math/9811058 [math.GR]AbstractReferencesReviewsResources

A Lie Algebra Correspondence for a Family of Finite p-Groups

Paul J. Sanders

Published 1998-11-09Version 1

For a prime p and natural number n with p greater than or equal to n, we establish the existence of a non-functorial one-to-one correspondence between isomorphism classes of groups of order p^n whose derived subgroup has exponent dividing p, and isomorphism classes of nilpotent p^n-element Lie algebras L over the truncated polynomial ring F_p[T]/(T^n) in which T[L,L]=0.

Comments: 8 pages. In LaTeX2e using the packages amsmath, amssymb and enumerate. Submitted for publication in J. Group Theory
Categories: math.GR, math.RA
Subjects: 20D15
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