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.
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| Format: | Article |
| Language: | English |
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Aracne
2017-06-01
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| Series: | Advances in Group Theory and Applications |
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| Online Access: | http://www.advgrouptheory.com/journal/Volumes/3/B.A.F.%20Wehrfritz%20-%20Linear%20groups%20with%20many%20profinitely%20closed%20subgroups.pdf |
| Summary: | 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. |
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| ISSN: | 2499-1287 2499-1287 |