Citation
Rt. Curtis et Z. Hasan, SYMMETRICAL REPRESENTATION OF THE ELEMENTS OF THE JANKO GROUP J(1), Journal of symbolic computation, 22(2), 1996, pp. 201-214
Citations number
12
Categorie Soggetti
Mathematics,"Computer Sciences, Special Topics",Mathematics,"Computer Science Theory & Methods
Journal title
ISSN journal
07477171
Volume
22
Issue
2
Year of publication
1996
Pages
201 - 214
Database
ISI
SICI code
0747-7171(1996)22:2<201:SROTEO>2.0.ZU;2-8
Abstract
In this paper we represent each element of the Janko group J(1) as a p
ermutation on eleven letters from the projective special linear group
L(2)(11), followed by a word of length at most four in the eleven invo
lutory symmetric generators. An algorithm for multiplying elements rep
resented in this way is described, and computer programs which carry o
ut this procedure and others are given in the appendix. (C) 1996 Acade
mic Press Limited