Q-perfect groups and universal Q-central extensions.

Ronald Brown

Publicacions Matemàtiques (1990)

  • Volume: 34, Issue: 2, page 291-297
  • ISSN: 0214-1493

Abstract

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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.

How to cite

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Brown, Ronald. "Q-perfect groups and universal Q-central extensions.." Publicacions Matemàtiques 34.2 (1990): 291-297. <http://eudml.org/doc/41135>.

@article{Brown1990,
abstract = {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.},
author = {Brown, Ronald},
journal = {Publicacions Matemàtiques},
keywords = {Teoría de grupos; Grupos; universal coefficient theorem; homology of groups; cohomology of groups; commutator subgroup; q-perfect group; universal q-central extensions},
language = {eng},
number = {2},
pages = {291-297},
title = {Q-perfect groups and universal Q-central extensions.},
url = {http://eudml.org/doc/41135},
volume = {34},
year = {1990},
}

TY - JOUR
AU - Brown, Ronald
TI - Q-perfect groups and universal Q-central extensions.
JO - Publicacions Matemàtiques
PY - 1990
VL - 34
IS - 2
SP - 291
EP - 297
AB - 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.
LA - eng
KW - Teoría de grupos; Grupos; universal coefficient theorem; homology of groups; cohomology of groups; commutator subgroup; q-perfect group; universal q-central extensions
UR - http://eudml.org/doc/41135
ER -

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