Partial isomorphisms over finite fields
Year: 2013
Type: preprint
Abstract: In this paper, we construct a combinatorial algebra of partial isomorphisms that gives rise to a "projective limit" of the centers of the group algebras C[GL(n,Fq)]. It allows us to prove a GL(n,Fq)-analogue of an old theorem of Farahat and Higman regarding products of conjugacy classes of permutations.
Source: arXiv (Cornell University)
Author: Méliot, Pierre-Loïc
Institutions: Université Paris-Sud, Laboratoire de Mathématiques d'Orsay
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2949939420