Group extensions and marginal series of pair of groups
In this article, using the concept of generalized Baer-invariant of a pair of groups, we establish some related isomorphisms between lower marginal quotient pairs of groups, which are generalized versions of some isomorphisms of Stallings. We also derive a result for the pair $(\mathcal{V}.\mathcal{...
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| Định dạng: | Bài viết |
| Ngôn ngữ: | English |
| Được phát hành: |
Académie des sciences
2021-07-01
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| Loạt: | Comptes Rendus. Mathématique |
| Truy cập trực tuyến: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.212/ |
| _version_ | 1827785333944614912 |
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| author | Rismanchian, Mohammad Reza |
| author_facet | Rismanchian, Mohammad Reza |
| author_sort | Rismanchian, Mohammad Reza |
| collection | DOAJ |
| description | In this article, using the concept of generalized Baer-invariant of a pair of groups, we establish some related isomorphisms between lower marginal quotient pairs of groups, which are generalized versions of some isomorphisms of Stallings. We also derive a result for the pair $(\mathcal{V}.\mathcal{W}, \mathcal{X})$ to be an ultra Hall pair for special varieties of groups. This result generalizes that of Fung in 1977, which has roots in Philip Hall’s criterion on nilpotency. |
| first_indexed | 2024-03-11T16:17:39Z |
| format | Article |
| id | doaj.art-c51a6968fb1d4220b0b18f645183b79d |
| institution | Directory Open Access Journal |
| issn | 1778-3569 |
| language | English |
| last_indexed | 2024-03-11T16:17:39Z |
| publishDate | 2021-07-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj.art-c51a6968fb1d4220b0b18f645183b79d2023-10-24T14:18:45ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692021-07-01359563163810.5802/crmath.21210.5802/crmath.212Group extensions and marginal series of pair of groupsRismanchian, Mohammad Reza0Faculty of Mathematical Sciences, Shahrekord University, Shahrekord, IranIn this article, using the concept of generalized Baer-invariant of a pair of groups, we establish some related isomorphisms between lower marginal quotient pairs of groups, which are generalized versions of some isomorphisms of Stallings. We also derive a result for the pair $(\mathcal{V}.\mathcal{W}, \mathcal{X})$ to be an ultra Hall pair for special varieties of groups. This result generalizes that of Fung in 1977, which has roots in Philip Hall’s criterion on nilpotency.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.212/ |
| spellingShingle | Rismanchian, Mohammad Reza Group extensions and marginal series of pair of groups Comptes Rendus. Mathématique |
| title | Group extensions and marginal series of pair of groups |
| title_full | Group extensions and marginal series of pair of groups |
| title_fullStr | Group extensions and marginal series of pair of groups |
| title_full_unstemmed | Group extensions and marginal series of pair of groups |
| title_short | Group extensions and marginal series of pair of groups |
| title_sort | group extensions and marginal series of pair of groups |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.212/ |
| work_keys_str_mv | AT rismanchianmohammadreza groupextensionsandmarginalseriesofpairofgroups |