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Sporadic groups and automorphisms of linear spaces

✍ Scribed by Alan R. Camina; Federica Spiezia


Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
115 KB
Volume
8
Category
Article
ISSN
1063-8539

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This paper contains a classification of finite linear spaces with an automorphism group which is an almost simple group of Lie type acting flag-transitively. This completes the proof of the classification of finite flag-transitive linear spaces announced in [BDDKLS].

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## Abstract Given a connected graph Ξ“ of order __n__ and diameter __d__, we establish a tight upper bound for the order of the automorphism group of Ξ“ as a function of __n__ and __d__, and determine the graphs for which the bound is attained. Β© 2011 Wiley Periodicals, Inc. J Graph Theory.

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## Abstract A perfect edge colouring of a graph is defined by the property that all colour matchings are perfect matchings. Every edge‐coloured graph determines a group of graph automorphisms which preserve the colours of the edges. If the graph is connected, then this group of colour preserving au

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Now 6 and rjt are open, hence r] is open. Then ' p is open because i, and i, are topological. c]