Isomorphisms of matrix groups over commutative rings
We give a description of the isomorphism classes of matrix groups over commutative rings with 1 and that have dimension more than 3 and containing the group of elementary transvections. We characterize those homomorphisms of matrix groups, which satisfy the so-called (*) condition. Such homomorphism...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2017
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| Sorozat: | Acta scientiarum mathematicarum
83 No. 1-2 |
| Kulcsszavak: | Matematika, Izomorfizmus - mátrixcsoport, Kommutatív gyűrű |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-016-004-x |
| Online Access: | http://acta.bibl.u-szeged.hu/48919 |
| Tartalmi kivonat: | We give a description of the isomorphism classes of matrix groups over commutative rings with 1 and that have dimension more than 3 and containing the group of elementary transvections. We characterize those homomorphisms of matrix groups, which satisfy the so-called (*) condition. Such homomorphisms can be constructed with the help of the standard homomorphism. We apply the characterization obtained to the description of the above class of matrix groups. |
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| Terjedelem/Fizikai jellemzők: | 113-123 |
| ISSN: | 0001 6969 |