Abstract | ||
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We announce the end of the classification of all firm and residually connected geometries satisfying the conditions (IP)(2) and (2T)(1) and on which the Higman-Sims group HS acts flag-transitively and residually weakly primitively. We state some facts regarding the results. In particular, we construct two rank three geometries which are extensions of the Hoffman-Singleton graph. These are the first known extensions of the Hoffman-Singleton graph. The complete list of geometries is available as a supplement to this paper. |
Year | Venue | Field |
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2005 | AUSTRALASIAN JOURNAL OF COMBINATORICS | Graph,Discrete mathematics,Combinatorics,Singleton,Mathematics |
DocType | Volume | ISSN |
Journal | 33 | 2202-3518 |
Citations | PageRank | References |
1 | 0.44 | 0 |
Authors | ||
1 |
Name | Order | Citations | PageRank |
---|---|---|---|
Dimitri Leemans | 1 | 38 | 15.96 |