Linear Groups with Many Profinitely Closed Subgroups

If G is a linear group with every subgroup of G of infinite Prüfer rank closed in the profinite topology on G, we prove that either every subgroup of G is closed in this topology or G itself has finite Prüfer rank.

Bibliographic Details
Main Author: B.A.F. Wehrfritz
Format: Article
Language:English
Published: Aracne 2017-06-01
Series:Advances in Group Theory and Applications
Subjects:
Online Access:http://www.advgrouptheory.com/journal/Volumes/3/B.A.F.%20Wehrfritz%20-%20Linear%20groups%20with%20many%20profinitely%20closed%20subgroups.pdf