Histopathology of leaf lesions caused by different plant viruses transmitted by Br...
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Dept Matemat, Caixa Postal 66-281, BR-05315970 Sao Paulo - Brazil
[2] Univ Murcia, Dept Matemat, Murcia - Spain
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | COMMUNICATIONS IN ALGEBRA; v. 44, n. 2, p. 680-696, 2016. |
| Web of Science Citations: | 3 |
| Abstract | |
We prove that if two finite groups G(1) and G(2) admit an isomorphism between their lattices of subgroups which preserves subgroup rings over a commutative ring K then the partial group rings K-par G(1) and K-par G(2) are isomorphic. If vertical bar G vertical bar is odd, then we find a series of natural invariants of C-par G and use them to show that C-par G determines the commutativity of G. In the case of odd vertical bar G vertical bar, the least counterexample to the isomorphism problem for partial group algebras over C is pointed out. Moreover, a counterexample to the isomorphism problem over Q is also given. (AU) | |
| FAPESP's process: | 09/52665-0 - Groups, rings and algebras: interactions and applications |
| Grantee: | Francisco Cesar Polcino Milies |
| Support Opportunities: | Research Projects - Thematic Grants |