Irreducible and Transitive Finitary Groups

Irreducible and Transitive Locally-Nilpotent by Abelian Finitary Groups, Arch. Math. 74 (2000) 168-172.

This paper was based on work in my PhD thesis conducted under the supervision of Prof B.A.F. Wehrfritz and with the support of an EPSRC grant.

Abstract

We show that a locally-nilpotent by abelian group that is either a transitive finitary permutation group on an infinite set or an irreducible finitary skew linear group of infinite dimension, is a p-group for some suitably chosen prime p.

Links

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

This site uses Akismet to reduce spam. Learn how your comment data is processed.