Doubly transitive groups and lattices
β Scribed by K. S. Abdukhalikov
- Publisher
- Springer US
- Year
- 1999
- Tongue
- English
- Weight
- 949 KB
- Volume
- 93
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
The availability of the classification of finite simple groups allows us to design algorithms for identifying the composition factors of finite groups. This paper presents an algorithm which identifies any finite doubly transitive permutation group G. If we exclude the 2-transitive subgroups of the
Jz of order 175560 has a primitive rank 5 representation of degree 266 in which the stabiliser of a point is isomorphic to PSL (2, 11) and acts doubly transitively on suborbits of lengths 11 and 12; the other suborbit lengths are 110 and 132. (See Livingstone [7].) Note also that the group [Z5 xZs]S