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/