On subgroups of free Burnside groups of large odd exponent

Details On subgroups of free Burnside groups of large odd exponent On subgroups of free Burnside groups of large odd exponent

2002-10-13

arxiv.org/abs/math/0210191v1

Mathematics

Group Theory

5 pages

Scientific paper

We prove that every noncyclic subgroup of a free $m$-generator Burnside group $B(m,n)$ of odd exponent $n \gg 1$ contains a subgroup $H$ isomorphic to a free Burnside group $B(\infty,n)$ of exponent $n$ and countably infinite rank such that for every normal subgroup $K$ of $H$ the normal closure $^{B(m,n)}$ of $K$ in $B(m,n)$ meets $H$ in $K$. This implies that every noncyclic subgroup of $B(m,n)$ is SQ-universal in the class of groups of exponent $n$.

Affiliated with

Also associated with

No associations

Rating

On subgroups of free Burnside groups of large odd exponent 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 On subgroups of free Burnside groups of large odd exponent, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On subgroups of free Burnside groups of large odd exponent will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-343021