Insoluble groups with the rewriting property P8
โ Scribed by Russel D. Blyth; Derek J.S. Robinson
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 883 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0022-4049
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let G be a finite group, and let Cay(G, S) be a Cayley digraph of G. If, for all T โ G, Cay(G, S) โผ = Cay(G, T ) implies S ฮฑ = T for some ฮฑ โ Aut(G), then Cay(G, S) is called a CI-graph of G. For a group G, if all Cayley digraphs of valency m are CI-graphs, then G is said to have the m-DCI property;
For a positive integer m, a group G is said to have the m-DCI property if, for any Cayley digraphs Cay(G, S) and Cay(G, T ) of G of valency m (that is, |S| = |T | =m), Cay(G, S)$Cay(G, T ) if and only if S \_ =T for some \_ # Aut(G). This paper is one of a series of papers towards characterizing fin
## dedicated to k. doerk on his 60th birthday Given two subgroups U V of a finite group which are subnormal subgroups of their join U V and a formation , in general it is not true that U V = U V . A formation is said to have the Wielandt property if this equality holds universally. A formation wit