%0 PDF
%T Noncommutators and the number of projective characters of a finite group.
%A Reynolds, William F.
%D 2018-07-19T09:44:23.953-04:00
%8 2018-07-19
%I Tufts University. Tisch Library.
%R http://localhost/files/rv043526q
%X Let ƒ be a 2-cocycle of a finite group G over the multiplicative group of the complex field with trivial action. Schur already knew that the number of irreducible projective characters of G in C for ƒ (or ƒ-characters for short) is less than or equal to the number of conjugacy classes of G. No one seems to have asked whether it is possible to have equality when ƒ is not a coboundary. We show that this can indeed happen, give a simple criterion for it, and discuss some examples. First published in Proceedings of Symposia in Pure Mathematics in volume 47.2, published by the American Mathematical Society.
%[ 2018-10-10
%9 Text
%~ Tufts Digital Library
%W Institution