Partial actions and representations, cohomology and globalization
Partial actions and partial representations, cohomology and applications
Optimal distributed restoration of electrical distribution systems using alternati...
| Full text | |
| Author(s): |
Sambonet, Nicola
Total Authors: 1
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| Document type: | Journal article |
| Source: | Journal of Pure and Applied Algebra; v. 221, n. 8, p. 2053-2063, AUG 2017. |
| Web of Science Citations: | 1 |
| Abstract | |
This article introduces new techniques and theorems pertaining to the powers of the unitary cocycles, the power structure of the unitary cover, and their relation to general central extensions. In turn, bounds for the exponent of the Schur multiplier and the unitary cover are provided in terms of the nilpotency class, the rank, and the coclass of the underlying group. Moreover, the quadratic bound (exp G)(2) holds whenever exp G <= 7. Finally, the problem of describing bounds is related to the study of symmetric invariant 2-cocycles. (C) 2016 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 15/12139-9 - Schur multiplier and partial actions |
| Grantee: | Nicola Sambonet |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |