The groups of order at most 1000 except 512 and 768

被引:10
作者
Besche, HU [1 ]
Eick, B
机构
[1] Rhein Westfal TH Aachen, Lehrstuhl Math D, D-52056 Aachen, Germany
[2] Univ Wurzburg, Math Inst, D-97074 Wurzburg, Germany
关键词
D O I
10.1006/jsco.1998.0259
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Recently, we developed practical algorithms to determine up to isomorphism the groups of a given order. Here we describe details on the implementations and the applications of these methods. In particular, we report on the determination of the groups of order at most 1000 except 512 and 768. (C) 1999 Academic Press.
引用
收藏
页码:405 / 413
页数:9
相关论文
共 14 条
[1]   Construction of finite groups [J].
Besche, HU ;
Eick, B .
JOURNAL OF SYMBOLIC COMPUTATION, 1999, 27 (04) :387-404
[2]  
BESCHE HU, 1999, UNPUB GROUPS ORDER Q
[3]  
BETTEN A, 1996, LNCS, V1156, P126
[4]   The Magma algebra system .1. The user language [J].
Bosma, W ;
Cannon, J ;
Playoust, C .
JOURNAL OF SYMBOLIC COMPUTATION, 1997, 24 (3-4) :235-265
[5]  
EICK B, 1998, UNPUB ENUMERATING PG
[6]  
EICK B, 1996, THESIS RWTH AACHEN
[7]  
*GAP GROUP, 1998, GAP GROUPS ALG PROGR
[8]  
HULPKE A, 1996, THESIS RWTH AACHEN
[9]  
HULPKE A, 1996, AACHENER BEITRAGE MA, V18
[10]  
Huppert B., 1967, Endliche Gruppen I, VI