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].
Sporadic groups and automorphisms of linear spaces
β 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
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## 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.
It is shown that there is a close connection between the right 2-Engel elements of a group and the set of the so-called commuting automorphisms of the group. As a consequence, the following general theorem is proved: If G is a group and if Ε½ . R G denotes the subgroup of right 2-Engel elements, then
## Abstract A perfect edge colouring of a graph is defined by the property that all colour matchings are perfect matchings. Every edgeβcoloured 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
Now 6 and rjt are open, hence r] is open. Then ' p is open because i, and i, are topological. c]