Some presentations for the special linear groups on finite fields

被引：0

作者：

Chiaselotti G. ^{[1
]}

机构：

[1] Dipartimento di Matematica, Univ. Degli Studi Delia, Arcavacata Di Rende, Calabria

来源：

Annali di Matematica Pura ed Applicata (1923 -) | 2001年 / 180卷 / 3期

关键词：

- Elementary matrices; Steinberg presentation;

D O I：

10.1007/s102310100016

中图分类号：

学科分类号：

摘要：

We simplify the Steinberg presentation of SLn(F,i), where n > 1 and Fj is any finite field with d elements. That presentation has the elementary matrices eij(r), with i,i∈[1...,n)/ ≠ 4yandr e Fd, as generators, and (El }-(E3), described at the opening of this work, as relations. The presentation that we shall obtain reduces the number of generators ejj(r) and relations (E1)-(E3). In particular, relations (E3) are considerably reduced. © Springer-Verlag 2001.

引用

页码：359 / 372

页数：13