On Varieties and The Direct Limit of Groups
Leedham-Green and McKay [ Acta Math.137( 1967) 99-150] introduced the generalized version of the Baer-invariant of a group with respect to two varieties of groups. A group G is called capable if there exists a group H such that G=H/Z(H). In this paper , we generalize some properties of capability of...
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| Format: | Article |
| Language: | English |
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Qom University of Technology
2023-09-01
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| Series: | Mathematics and Computational Sciences |
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| Online Access: | https://mcs.qut.ac.ir/article_706422_6c6ec3a3c424d608e8450a535c45e5c9.pdf |
| _version_ | 1797242707987398656 |
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| author | Homayoon Arabyani |
| author_facet | Homayoon Arabyani |
| author_sort | Homayoon Arabyani |
| collection | DOAJ |
| description | Leedham-Green and McKay [ Acta Math.137( 1967) 99-150] introduced the generalized version of the Baer-invariant of a group with respect to two varieties of groups. A group G is called capable if there exists a group H such that G=H/Z(H). In this paper , we generalize some properties of capability of direct product of groups with respect to two varieties of groups and direct Limits.Moreover, we survey some properties of the Baer - invariant of a pair of groups with respect to two varieties of groups and direct Limits. |
| first_indexed | 2024-03-08T05:36:14Z |
| format | Article |
| id | doaj.art-c0a45bfd56ad40c5817076c67d6ed41b |
| institution | Directory Open Access Journal |
| issn | 2717-2708 |
| language | English |
| last_indexed | 2024-04-24T18:43:30Z |
| publishDate | 2023-09-01 |
| publisher | Qom University of Technology |
| record_format | Article |
| series | Mathematics and Computational Sciences |
| spelling | doaj.art-c0a45bfd56ad40c5817076c67d6ed41b2024-03-27T09:03:28ZengQom University of TechnologyMathematics and Computational Sciences2717-27082023-09-0143131810.30511/mcs.2023.1996230.1116706422On Varieties and The Direct Limit of GroupsHomayoon Arabyani0Department of Mathematics, Islamic Azad university, Neyshabour branch, Neyshabour, IranLeedham-Green and McKay [ Acta Math.137( 1967) 99-150] introduced the generalized version of the Baer-invariant of a group with respect to two varieties of groups. A group G is called capable if there exists a group H such that G=H/Z(H). In this paper , we generalize some properties of capability of direct product of groups with respect to two varieties of groups and direct Limits.Moreover, we survey some properties of the Baer - invariant of a pair of groups with respect to two varieties of groups and direct Limits.https://mcs.qut.ac.ir/article_706422_6c6ec3a3c424d608e8450a535c45e5c9.pdfcapable groupsdirect limitbaer-invariant |
| spellingShingle | Homayoon Arabyani On Varieties and The Direct Limit of Groups Mathematics and Computational Sciences capable groups direct limit baer-invariant |
| title | On Varieties and The Direct Limit of Groups |
| title_full | On Varieties and The Direct Limit of Groups |
| title_fullStr | On Varieties and The Direct Limit of Groups |
| title_full_unstemmed | On Varieties and The Direct Limit of Groups |
| title_short | On Varieties and The Direct Limit of Groups |
| title_sort | on varieties and the direct limit of groups |
| topic | capable groups direct limit baer-invariant |
| url | https://mcs.qut.ac.ir/article_706422_6c6ec3a3c424d608e8450a535c45e5c9.pdf |
| work_keys_str_mv | AT homayoonarabyani onvarietiesandthedirectlimitofgroups |