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A Lie Algebra Correspondence for a Family of Finite p-Groups | Paul J. Sanders
; | Date: |
9 Nov 1998 | Subject: | Group Theory; Rings and Algebras MSC-class: 20D15 | math.GR math.RA | 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 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. | Source: | arXiv, math.GR/9811058 | Services: | Forum | Review | PDF | Favorites |
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