Présentation fischérienne de certaines extensions non scindées de groupes orthogonaux sur F3

In this paper we construct two groups, the nonsplit extensions 3^7.O_7(3).2 and 3^8.O^−_8 (3).2, as subgroups of the group Fi_{24} and the Bimonster respectively. For these two extensions we exhibite a set of generating involutions and we give presentations as 3-transposition groups.

Bibliographic Details
Main Author: M-M. Virotte Ducharme
Format: Article
Language:English
Published: Sapienza Università Editrice 1997-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1997(3)/347-371.pdf