Cyclic regular subgroups of primitive permutation groups

By Gareth Aneurin Jones. 2002

91 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Discrete Mathematics and Combinatorics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/e9a32ad06e68e2c98fe2abbd0fa98467a2f774e8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Caiheng Li
2. Gareth Aneurin Jones

In Discrete Mathematics and Combinatorics

1. Caiheng Li
2. Gareth Aneurin Jones
3. István Kovács

In Electrical and Electronic Engineering

1. Caiheng Li
2. Gareth Aneurin Jones
3. István Kovács

Citations in the corpus

• Regular Subgroups of Primitive Permutation Groups (2010, unknown): “In particular, the papers [20, 26, 27] of Jones and Li deal with the cases of cyclic and dihedral regular subgroups.”
• PRIMITIVE PERMUTATION GROUPS CONTAINING A CYCLE (2012, methodology): “The case k = 0 has been dealt with by the author in [10], completing work of Feit [8], while the case k = 1 has been dealt with by Müller in [18, Theorem 6.”
• Permutation Groups with a Cyclic Regular Subgroup and Arc Transitive Circulants (2005, background): “A precise list of primitive c-groups was recently given in [8, 13], independently.”
• Finite edge-transitive Cayley graphs and rotary Cayley maps (2006, methodology): “The property stated in Lemma 6.5 enables us to extend the classification of the primitive permutation groups containing a regular abelian subgroup, given in [ 17 ] and [21, Corollary 1.2] independently, into the quasiprimitive case.”