A proof by graphs that PSL(2, 7) ≅ PSL(3, 2)
✍ Scribed by R.H. Jeurissen
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 237 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0012-365X
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✦ Synopsis
We give three definitions of the Coxeter graph. By the second one we see that PSL(2,7) is contained in the automorphism group oi lhlrt graph as a subgroup of indsx 2, atd 2; the third one that the same holds for PSL(3,2). 1. Three clelhitions of the Coxeter graph 1.1. First dejinition
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## Abstract In this paper, we determine the number of the orbits of 7‐subsets of $X= {\rm GF}(2^n)\cup\{\infty\}$ with a fixed orbit length under the action of PSL(2, 2^__n__^). As a consequence, we determine the distribution of λ for which there exists a simple 3‐(2^__n__^ + 1, 7, λ) design with P
MaruSiE, D. and R. Scapellato, A class of non-Cayley vertex-transitive graphs associated with PSL(2, p), Discrete Mathematics 109 (1992) 161-170. A construction for a class of non-Cayley vertex-transitive graphs associated with PSL(2,p) acting by right multiplication on the right cosets of a dihedr