Generalized Baer-Invariant of a Pair of Groups and Marginal Extension
In this paper, we give connection between the order of the generalized Baer-invariant of a pair of finite groups and its factor groups, when ? is considered to be the specific variety. Moreover, we give a necessary and sufficient condition in which the generalized Baer-invariant of a pair of groups...
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| Format: | Article |
| Language: | English |
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University of Tehran
2012-09-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
| Online Access: | https://jsciences.ut.ac.ir/article_30535_2819dd52747372e48a4e2f0d1f6202fa.pdf |
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| author | M.R. Rismanchian |
| author_facet | M.R. Rismanchian |
| author_sort | M.R. Rismanchian |
| collection | DOAJ |
| description | In this paper, we give connection between the order of the generalized Baer-invariant of a pair of finite groups and its factor groups, when ? is considered to be the specific variety. Moreover, we give a necessary and sufficient condition in which the generalized Baer-invariant of a pair of groups can be embedded into the generalized Baer-invariant of pair of its factor groups. |
| format | Article |
| id | doaj-art-5028beea5f824bcc96568f7082e93b8f |
| institution | Kabale University |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 2012-09-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-5028beea5f824bcc96568f7082e93b8f2025-08-20T03:53:51ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69142012-09-0123325125630535Generalized Baer-Invariant of a Pair of Groups and Marginal ExtensionM.R. Rismanchian0Department of pure mathematics, Faculty of Mathematical Sciences, Shahrekord University,In this paper, we give connection between the order of the generalized Baer-invariant of a pair of finite groups and its factor groups, when ? is considered to be the specific variety. Moreover, we give a necessary and sufficient condition in which the generalized Baer-invariant of a pair of groups can be embedded into the generalized Baer-invariant of pair of its factor groups.https://jsciences.ut.ac.ir/article_30535_2819dd52747372e48a4e2f0d1f6202fa.pdf |
| spellingShingle | M.R. Rismanchian Generalized Baer-Invariant of a Pair of Groups and Marginal Extension Journal of Sciences, Islamic Republic of Iran |
| title | Generalized Baer-Invariant of a Pair of
Groups and Marginal Extension |
| title_full | Generalized Baer-Invariant of a Pair of
Groups and Marginal Extension |
| title_fullStr | Generalized Baer-Invariant of a Pair of
Groups and Marginal Extension |
| title_full_unstemmed | Generalized Baer-Invariant of a Pair of
Groups and Marginal Extension |
| title_short | Generalized Baer-Invariant of a Pair of
Groups and Marginal Extension |
| title_sort | generalized baer invariant of a pair of groups and marginal extension |
| url | https://jsciences.ut.ac.ir/article_30535_2819dd52747372e48a4e2f0d1f6202fa.pdf |
| work_keys_str_mv | AT mrrismanchian generalizedbaerinvariantofapairofgroupsandmarginalextension |