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Block-transitive and point-primitive $2$-$(v,k,2)$ designs with sporadic socle
| Content Provider | Semantic Scholar |
|---|---|
| Author | Zhang, Xiaohong Zhou, Shenglin |
| Copyright Year | 2016 |
| Abstract | The purpose of this paper is to classify all pairs $(\mathcal{D}, G)$, where $\mathcal{D}$ is a non-trivial $2$-$(v, k, 2)$ design, and $G\leq Aut(\mathcal{D})$ acts transitively on the set of blocks of $\mathcal{D}$ and primitively on the set of points of $\mathcal{D}$ with sporadic socle. We prove that there exists only one such pair $(\mathcal{D}, G)$ in which $\mathcal{D}$ is a $2$-$(176,8,2)$ design and $G=HS$, the Higman-Sims simple group. |
| Starting Page | 231 |
| Ending Page | 238 |
| Page Count | 8 |
| File Format | PDF HTM / HTML |
| DOI | 10.1002/jcd.21528 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1603.07405v1.pdf |
| Alternate Webpage(s) | https://export.arxiv.org/pdf/1603.07405 |
| Alternate Webpage(s) | https://doi.org/10.1002/jcd.21528 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
