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 |
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doaj-d616a980656d40dcaaae14f2efd1cd862020-11-24T21:20:04ZengAracneAdvances in Group Theory and Applications2499-12872499-12872017-06-013677310.4399/97888255036925Linear Groups with Many Profinitely Closed SubgroupsB.A.F. Wehrfritz0Queen Mary University of LondonIf 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.http://www.advgrouptheory.com/journal/Volumes/3/B.A.F.%20Wehrfritz%20-%20Linear%20groups%20with%20many%20profinitely%20closed%20subgroups.pdfprofinite topologylinear groupsNoetherian and Artinian mod- ules over commutative rings |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
B.A.F. Wehrfritz |
| spellingShingle |
B.A.F. Wehrfritz Linear Groups with Many Profinitely Closed Subgroups Advances in Group Theory and Applications profinite topology linear groups Noetherian and Artinian mod- ules over commutative rings |
| author_facet |
B.A.F. Wehrfritz |
| author_sort |
B.A.F. Wehrfritz |
| title |
Linear Groups with Many Profinitely Closed Subgroups |
| title_short |
Linear Groups with Many Profinitely Closed Subgroups |
| title_full |
Linear Groups with Many Profinitely Closed Subgroups |
| title_fullStr |
Linear Groups with Many Profinitely Closed Subgroups |
| title_full_unstemmed |
Linear Groups with Many Profinitely Closed Subgroups |
| title_sort |
linear groups with many profinitely closed subgroups |
| publisher |
Aracne |
| series |
Advances in Group Theory and Applications |
| issn |
2499-1287 2499-1287 |
| publishDate |
2017-06-01 |
| description |
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. |
| topic |
profinite topology linear groups Noetherian and Artinian mod- ules over commutative rings |
| url |
http://www.advgrouptheory.com/journal/Volumes/3/B.A.F.%20Wehrfritz%20-%20Linear%20groups%20with%20many%20profinitely%20closed%20subgroups.pdf |
| work_keys_str_mv |
AT bafwehrfritz lineargroupswithmanyprofinitelyclosedsubgroups |
| _version_ |
1726004003172515840 |