Bounds for the exponent of the Schur multiplier

Autor(es)

Sambonet, Nicola

• Tipo de documento: Artigo Científico
• Fonte: Journal of Pure and Applied Algebra; v. 221, n. 8, p. 2053-2063, AUG 2017.
• Citações Web of Science: 1

Resumo

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)

• Processo FAPESP: 15/12139-9 - Multiplicador de Schur e ações parciais
• Beneficiário: Nicola Sambonet
• Linha de fomento: Bolsas no Brasil - Pós-Doutorado