The regular representation of restricted direct product groups
β Scribed by Bruce E Blackadar
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 422 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A Cayley graph = Cay(G, S) is called a graphical regular representation of the group G if Aut = G. One long-standing open problem about Cayley graphs is to determine which Cayley graphs are graphical regular representations of the corresponding groups. A simple necessary condition for to be a graphi
A directed Cayley graph X is called a digraphical regular representation (DRR) of a group G if the automorphism group of X acts regularly on X . Let S be a finite generating set of the infinite cyclic group Z. We show that a directed Cayley graph X (Z, S) is a DRR of Z if and only if As a general r
## Abstract It was shown by Babai and Imrich [2] that every finite group of odd order except $Z^2\_3$ and $Z^3\_3$ admits a regular representation as the automorphism group of a tournament. Here, we show that for __k__ β₯ 3, every finite group whose order is relatively prime to and strictly larger t