Certain locally nilpotent varieties of groups

Details Certain locally nilpotent varieties of groups Certain locally nilpotent varieties of groups

2002-12-02

arxiv.org/abs/math/0212016v1

Mathematics

Group Theory

4 pages, to appear in Bull. Austral. Math. Soc

Scientific paper

Let $c\geq 0$, $d\geq 2$ be integers and $\mathcal{N}_c^{(d)}$ be the variety of groups in which every $d$-generator subgroup is nilpotent of class at most $c$. N.D. Gupta posed this question that for what values of $c$ and $d$ it is true that $\mathcal{N}_c^{(d)}$ is locally nilpotent? We prove that if $c\leq 2^d+2^{d-1}-3$ then the variety $\mathcal{N}_c^{(d)}$ is locally nilpotent and we reduce the question of Gupta about the periodic groups in $\mathcal{N}_c^{(d)}$ to the prime power finite exponent groups in this variety.

Affiliated with

Also associated with

No associations

Rating

Certain locally nilpotent varieties of 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 Certain locally nilpotent varieties of groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Certain locally nilpotent varieties of groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-602596