Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4585113 | Journal of Algebra | 2013 | 27 Pages |
Abstract
Refining the technique worked out in previous papers, we give a characterization, up to equivalence, of the factor sets Ï of partial projective representation of a group G over an algebraically closed field K in terms of equalities satisfied by Ï. This allows one to conclude that any component of the partial Schur multiplier pM(G) is an epimorphic image of a direct power of Kâ. Moreover, it is shown that any component of pM(G) is an epimorphic image of the component pMGÃG(G) of the equivalence classes of the totally defined partial factor sets. Examples with cyclic G are considered, in particular, the total component pMGÃG(G) is determined when G is an arbitrary finite cyclic group. In this case pMGÃG(G) is a direct power of Kâ.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
M. Dokuchaev, B. Novikov, H. Pinedo,