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

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

1998-11-09

arxiv.org/abs/math/9811058v1

Mathematics

Group Theory

8 pages. In LaTeX2e using the packages amsmath, amssymb and enumerate. Submitted for publication in J. Group Theory

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

A Lie Algebra Correspondence for a Family of Finite p-Groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Lie Algebra Correspondence for a Family of Finite p-Groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Lie Algebra Correspondence for a Family of Finite p-Groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-711702