Rank 4 groups with a 3-transitive suborbit
โ Scribed by Manley Perkel
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 783 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0097-3165
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๐ SIMILAR VOLUMES
It is shown that isotopic loops of order p n +1, p a prime, which have transitive automorphism groups are in fact isomorphic. The proof uses the Sylow theorems to obtain an isomorphism from an arbitrary isotopism. The result is applied to the additive loops of neofields of order p n +1. ## 1997 Aca
If W is a rank 3 Coxeter group, whose Coxeter diagram contains at least one infinite bond, then the automorphism group of W is larger than the group generated by the inner automorphisms and the automorphisms induced from automorphisms of the Coxeter diagram. In each case the automorphism group of W
In this paper we prove that Z 4 p is a CI-group; i.e., two Cayley graphs over the elementary abelian group Z 4 p are isomorphic if and only if their connecting sets are conjugate by an automorphism of the group Z 4 p .