Q-perfect groups and universal Q-central extensions

Autores: Ronald Brown
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 34, Nº 2, 1990, págs. 291-297
Idioma: inglés
DOI: 10.5565/publmat_34290_08
Títulos paralelos:
- Grupos Q-perfectos y extensiones universales Q-centrales
Enlaces
- Texto completo
Resumen
- Using results of Ellis-Rodríguez Fernández, an explicit description by generators and relations is given of the mod q Schur multiplier, and this is shown to be the kernel of a universal q-central extension in the case of a q-perfect group, i.e. one which is generated by commutators and q-th powers. These results generalise earlier work [by] K. Dennis and Brown-Loday.