2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77684For 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 TheoryGroup TheoryRings and Algebras20D15text