Symmetric Graphs of Order a Product of Two Distinct Primes
โ Scribed by C.E. Praeger; R.J. Wang; M.Y. Xu
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 830 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
This paper completes the determination of all integers of the form pqr (where p, q, and r are distinct primes) for which there exists a vertex-transitive graph on pqr vertices which is not a Cayley graph.
We consider finite groups which have connected transversals to subgroups whose order is a product of two primes p and q. We investigate those values of p and q for which the group is soluble. We can show that the solubility of the group follows if q = 2 and p โค 61, q = 3 and p โค 31, q = 5 and p โค 11
Let V be a representation of a finite group G over a field of characteristic p. If p does not divide the group order, then Molien's formula gives the Hilbert series of the invariant ring. In this paper we find a replacement of Molien's formula which works in the case that G is divisible by p but not
In this paper it is shown that every connected Cayley graph of a semt-direct product of a cyclic group of prime order by an abelian group is hamiltonian. In particular, every connected Cayley graph of a group G is hamiltonian provided that G is of order greater than 2 and it contains a normal cyclic