Geodesic
Partial isomorphisms over finite fields
Journal of Algebraic Combinatorics, Tome 40 (2014) no. 1, pp. 83-136.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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 $\mathbb {C}\mathrm{GL}(n,\mathbb {F}_q)$. It allows us to prove a $\mathrm {GL}(n,\mathbb {F}_q)$-analogue of a theorem of Farahat and Higman regarding products of conjugacy classes of permutations.
Classification : 05E10, 05E15
Keywords: combinatorics over finite fields, linear groups, Ivanov-Kerov algebra 
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     title = {Partial isomorphisms over finite fields},
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Méliot, Pierre-Loïc. Partial isomorphisms over finite fields. Journal of Algebraic Combinatorics, Tome 40 (2014) no. 1, pp. 83-136. http://geodesic.mathdoc.fr/item/JAC_2014__40_1_a8/