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

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dc.creatorSanders, Paul J.
dc.date1998-11-09
dc.date.accessioned2026-07-07T05:26:47Z
dc.date.available2026-07-07T05:26:47Z
dc.descriptionFor 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.
dc.description8 pages. In LaTeX2e using the packages amsmath, amssymb and enumerate. Submitted for publication in J. Group Theory
dc.identifierhttps://arxiv.org/abs/math/9811058
dc.identifierhttp://arxiv.org/abs/math/9811058
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77684
dc.subjectGroup Theory
dc.subjectRings and Algebras
dc.subject20D15
dc.titleA Lie Algebra Correspondence for a Family of Finite p-Groups
dc.typetext

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