An atlas of regular thin geometries for small groups-Reference-Cited by-同舟云学术

An atlas of regular thin geometries for small groups

Published:1999-05-17 Issue:228 Volume:68 Page:1631-1647
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Leemans Dimitri

Abstract

For some small groups, we give, up to isomorphism, an exhaustive list of all residually connected thin geometries on which these groups act regularly. We then show the utility of such an atlas by proving several results about smallest groups acting on a given diagram. The results have been obtained using a series of Magma programs.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1999-68-228/S0025-5718-99-01130-8/S0025-5718-99-01130-8.pdf

Reference29 articles.

1. Flag structures on Tits geometries;Aschbacher, Michael;Geom. Dedicata,1983

2. Diagrams for geometries and groups;Buekenhout, Francis;J. Combin. Theory Ser. A,1979

3. (𝑔,𝑑*,𝑑)-gons;Buekenhout, Francis,1983

4. F. Buekenhout and P. Cara, Some properties of inductively minimal flag-transitive geometries, Bull. Belg. Math. Soc. 5 (1998), 213–219.

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