A Lie Algebra Correspondence for a Family of Finite p-Groups
Paul J. Sanders
Abstract
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 pn whose derived subgroup has exponent dividing p, and isomorphism classes of nilpotent pn-element Lie algebras L over the truncated polynomial ring Fp[T]/(Tn) in which T[L,L]=0.
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