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.
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 |
Similar Items
-
Higher Braid Groups and Regular Semigroups from Polyadic-Binary Correspondence
by: Steven Duplij
Published: (2021-04-01) -
The coxeter legacy : reflections and projections /
by: Coxeter, H. S. M. (Harold Scott Macdonald), 1907-2003, et al.
Published: (2006) -
Projection of Polyhedra onto Coxeter Planes Described with Quaternions
by: Mudhahir Al-Ajmi, et al.
Published: (2015-02-01) -
q-Enumeration of type B and type D Eulerian polynomials based on parity of descents
by: Hiranya Kishore Dey, et al.
Published: (2023-07-01) -
4D Pyritohedral Symmetry
by: Nazife O. Koca, et al.
Published: (2016-12-01)