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Pre-Tits Systems

Published online by Cambridge University Press:  20 November 2018

Siegfried Moran
Siegfried Moran*
Affiliation:
University of Kent at Canterbury Mathematical Institute, Canterbury Kent, England CT2 7NF
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Abstract

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A Tits system gives rise to the corresponding pre-Tits system which is the free product of the standard parabolic subgroups of rank 1 amalgamating B. Some properties of this system are investigated.

Keywords

20H20
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 29 , Issue 4 , 01 December 1986 , pp. 486 - 494
Copyright
Copyright © Canadian Mathematical Society 1986

References

1. Bourbaki, N., Groupes et algèbres de Lie, Chap. 4, 5 et 6 Hermann 1968.Google Scholar
2. Serre, J.-P., Trees, Springer 1980.Google Scholar
3. Tits, J., Buildings of spherical type and finite BN-pairs, Springer 1974.Google Scholar
4. Tits, J., Définition par générateurs et relations de groupes avec BN-paire s, C. R. Acad. Paris 293 (1981), pp. 317–322.Google Scholar