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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1016-1104 2345-6914 |