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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.
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 -