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.
Main Author: | |
---|---|
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 |