Lassueur, CarolineThévenaz, Jacques2016-04-112016-04-112016-04-11201710.1016/j.exmath.2016.12.004https://infoscience.epfl.ch/handle/20.500.14299/125626WOS:000411297700001It is well-known that a finite group possesses a universal central extension if and only if it is a perfect group. Similarly, given a prime number p, we show that a finite group possesses a universal p′-central extension if and only if the p′-part of its abelianization is trivial. This question arises naturally when working with group representations over a field of characteristic p.central extensionuniversal central extensionp'-perfect groupSchur multiplierrepresentation grouptext::journal::journal article::research article