A Lie Algebra Correspondence for a Family of Finite p-Groups
Abstract
Description
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.
8 pages. In LaTeX2e using the packages amsmath, amssymb and enumerate. Submitted for publication in J. Group Theory
8 pages. In LaTeX2e using the packages amsmath, amssymb and enumerate. Submitted for publication in J. Group Theory