Proof of some properties of transfer using noncommutative determinants
A transfer is a group homomorphism from a group to an abelian quotient group of a subgroup of finite index. In this paper, we give a natural interpretation of the transfers in group theory in terms of noncommutative determinants.
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| Format: | Article |
| Language: | English |
| Published: |
Aracne
2018-12-01
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| Series: | Advances in Group Theory and Applications |
| Subjects: | |
| Online Access: | http://www.advgrouptheory.com/journal/Volumes/6/Yamaguchi%20-%20Proof%20of%20some%20properties%20of%20transfer.pdf |
| _version_ | 1828306525832085504 |
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| author | Naoya Yamaguchi |
| author_facet | Naoya Yamaguchi |
| author_sort | Naoya Yamaguchi |
| collection | DOAJ |
| description | A transfer is a group homomorphism from a group to an abelian quotient group of a subgroup of finite index. In this paper, we give a natural interpretation of the transfers in group theory in terms of noncommutative determinants. |
| first_indexed | 2024-04-13T14:44:48Z |
| format | Article |
| id | doaj.art-fbfa07ec519945489df56ede8fd73d24 |
| institution | Directory Open Access Journal |
| issn | 2499-1287 2499-1287 |
| language | English |
| last_indexed | 2024-04-13T14:44:48Z |
| publishDate | 2018-12-01 |
| publisher | Aracne |
| record_format | Article |
| series | Advances in Group Theory and Applications |
| spelling | doaj.art-fbfa07ec519945489df56ede8fd73d242022-12-22T02:42:48ZengAracneAdvances in Group Theory and Applications2499-12872499-12872018-12-01610111010.32037/AGTA-2018-007Proof of some properties of transfer using noncommutative determinantsNaoya YamaguchiA transfer is a group homomorphism from a group to an abelian quotient group of a subgroup of finite index. In this paper, we give a natural interpretation of the transfers in group theory in terms of noncommutative determinants.http://www.advgrouptheory.com/journal/Volumes/6/Yamaguchi%20-%20Proof%20of%20some%20properties%20of%20transfer.pdftransfernoncommutative determinantgroup algebra |
| spellingShingle | Naoya Yamaguchi Proof of some properties of transfer using noncommutative determinants Advances in Group Theory and Applications transfer noncommutative determinant group algebra |
| title | Proof of some properties of transfer using noncommutative determinants |
| title_full | Proof of some properties of transfer using noncommutative determinants |
| title_fullStr | Proof of some properties of transfer using noncommutative determinants |
| title_full_unstemmed | Proof of some properties of transfer using noncommutative determinants |
| title_short | Proof of some properties of transfer using noncommutative determinants |
| title_sort | proof of some properties of transfer using noncommutative determinants |
| topic | transfer noncommutative determinant group algebra |
| url | http://www.advgrouptheory.com/journal/Volumes/6/Yamaguchi%20-%20Proof%20of%20some%20properties%20of%20transfer.pdf |
| work_keys_str_mv | AT naoyayamaguchi proofofsomepropertiesoftransferusingnoncommutativedeterminants |