Hall-Higman type theorems for semisimple elements of finite classical groups

Autor:	Tiep, Pham Huu, Zalesskii, Alexander E.
Rok vydání:	2008
Předmět:	Mathematics - Representation Theory Mathematics - Group Theory 20C15 20C20 20C33 20G05 20G40
Druh dokumentu:	Working Paper
Popis:	We prove an analogue of the celebrated Hall-Higman theorem, which gives a lower bound for the degree of the minimal polynomial of any semisimple element of prime power order $p^{a}$ of a finite classical group in any nontrivial irreducible cross characteristic representation. With a few explicit exceptions, this degree is at least $p^{a-1}(p-1)$. Comment: 57 pages. Proc. London Math. Soc., to appear
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0810.0855 Zobrazit plný text záznamu View this record from Arxiv