ON (2,3)-GENERATION OF MATRIX GROUPS OVER THE RING OF INTEGERS

被引:6
作者
Vsemirnov, M. A. [1 ]
机构
[1] Russian Acad Sci, VA Steklov Math Inst, St Petersburg Branch, St Petersburg 191023, Russia
关键词
(2,3)-generation; linear groups;
D O I
10.1090/S1061-0022-08-01026-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The groups GL(5, Z), SL(5, Z), SL(6, Z), CL(7, Z) and SL(7, Z) are (2,3)-generated.
引用
收藏
页码:883 / 910
页数:28
相关论文
共 12 条
[1]  
DIMARTINO L, 1994, COMMUN ALGEBRA, V22, P1321
[2]  
DiMartino L, 1996, COMMUN ALGEBRA, V24, P487
[3]   Classical groups, probabilistic methods, and the (2,3)-generation problem [J].
Liebeck, MW ;
Shalev, A .
ANNALS OF MATHEMATICS, 1996, 144 (01) :77-125
[4]  
Luzgarev A. Yu., 2005, J MATH SCI NY, V130, P4729
[5]  
Miller G. A., 1901, Bull. Amer. Math. Soc, V7, P424
[6]   On a question of M. Conder [J].
Nuzhin, YN .
MATHEMATICAL NOTES, 2001, 70 (1-2) :71-78
[7]   ON THE (2,3)-GENERATION OF SOME CLASSICAL-GROUPS .2. [J].
TAMBURINI, MC ;
WILSON, JS .
JOURNAL OF ALGEBRA, 1995, 176 (02) :667-680
[8]   ON THE (2,3)-GENERATION OF SOME CLASSICAL-GROUPS .1. [J].
TAMBURINI, MC ;
WILSON, JS ;
GAVIOLI, N .
JOURNAL OF ALGEBRA, 1994, 168 (01) :353-370
[9]  
TAMBURINI MC, 2000, ATTI ACCAD NAZ LINCE, V11, P5
[10]   Is the group SL (6, ℤ) (2, 3)-generated? [J].
Vsemirnov M.A. .
Journal of Mathematical Sciences, 2007, 140 (5) :660-675