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Unsolvable block transitive automorphism groups of 2-(u, k, 1) (k = 6, 7, 8, 9) designs
| Content Provider | Semantic Scholar |
|---|---|
| Author | Han, Guangguo |
| Copyright Year | 2008 |
| Abstract | In this paper, we study block transitive automorphism groups of 2-(v, k, 1) block designs. Let D be a 2-(v, k, 1) (k = 6, 7, 8, 9) design admitting a block transitive, point primitive but not flag transitive group G of automorphisms. We prove that if G is unsolvable, then G does not admit an exceptional simple group of Lie type as its socle. Moreover, for a 2-(u, 9, 1) design, we also prove that there does not exist any block transitive, point imprimitive, unsolvable group G of automorphisms. |
| Starting Page | 5632 |
| Ending Page | 5644 |
| Page Count | 13 |
| File Format | PDF HTM / HTML |
| Volume Number | 308 |
| Alternate Webpage(s) | https://core.ac.uk/download/pdf/82430973.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
