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

Author

M-M. Virotte Ducharme

Subjects
coxeter groups, extension, presentation, 3-transposition groups, Mathematics, QA1-939
Abstract

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.

Published
1997

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