On the application of some concepts of ring theory to the study of the influence of systems of subgroups of a group
We study the groups, in which the family Lnon-nn(G) of all not nearly normal subgroups has the Krull dimension. A subgroup H of the group G is said to be nearly normal if H has finite index in its normal closure.
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| Date: | 2008 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2008
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3184 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | We study the groups, in which the family Lnon-nn(G) of all not nearly normal subgroups has the Krull dimension.
A subgroup H of the group G is said to be nearly normal if H has finite index in its normal closure. |
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