Counting Semilinear Endomorphisms Over Finite Fields

Autor:	Holland, Timothy
Rok vydání:	2011
Předmět:	Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	For a finite field k and a triple of integers g \ge r \ge s \ge 0, we count the number of semilinear endomorphisms of a g-dimensional k-vector space which have rank r and stable rank s. Such endomorphisms show up naturally in the classification of finite flat group schemes of p-power order over k which are killed by p and have p-rank s, via Dieudonne theory.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1112.4008 Zobrazit plný text záznamu View this record from Arxiv