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.
@article{urn:eudml:doc:41135,
title = {Q-perfect groups and universal Q-central extensions.},
journal = {Publicacions Matem\`atiques},
volume = {34},
year = {1990},
pages = {291-297},
zbl = {0729.20013},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41135}
}
Brown, Ronald. Q-perfect groups and universal Q-central extensions.. Publicacions Matemàtiques, Tome 34 (1990) pp. 291-297. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41135/