Finite permutation groups with a regular dihedral subgroup, and edge-transitive dihedrants

Shu-Jiao Song; Cai-Heng Li; H. Zhang

doi:10.1016/j.jalgebra.2013.10.022

Finite permutation groups with a regular dihedral subgroup, and edge-transitive dihedrants

Shu-Jiao Song, Cai-Heng Li, H. Zhang

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We study finite permutation groups that contain a regular dihedral subgroup, called d-groups. In particular, a classification is given of bi-quasiprimitive d-groups. It is then applied to classify edge-transitive dihedrants of order 2p m and valency coprime to p, where p is an odd prime and m is a positive integer. © 2013 Elsevier Inc.

Original language	English
Pages (from-to)	948-959
Journal	Journal of Algebra
Volume	399
DOIs	https://doi.org/10.1016/j.jalgebra.2013.10.022
Publication status	Published - 2014

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10.1016/j.jalgebra.2013.10.022

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abstract = "We study finite permutation groups that contain a regular dihedral subgroup, called d-groups. In particular, a classification is given of bi-quasiprimitive d-groups. It is then applied to classify edge-transitive dihedrants of order 2p m and valency coprime to p, where p is an odd prime and m is a positive integer. {\textcopyright} 2013 Elsevier Inc.",

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AU - Song, Shu-Jiao

AU - Li, Cai-Heng

AU - Zhang, H.

PY - 2014

Y1 - 2014

N2 - We study finite permutation groups that contain a regular dihedral subgroup, called d-groups. In particular, a classification is given of bi-quasiprimitive d-groups. It is then applied to classify edge-transitive dihedrants of order 2p m and valency coprime to p, where p is an odd prime and m is a positive integer. © 2013 Elsevier Inc.

AB - We study finite permutation groups that contain a regular dihedral subgroup, called d-groups. In particular, a classification is given of bi-quasiprimitive d-groups. It is then applied to classify edge-transitive dihedrants of order 2p m and valency coprime to p, where p is an odd prime and m is a positive integer. © 2013 Elsevier Inc.

U2 - 10.1016/j.jalgebra.2013.10.022

DO - 10.1016/j.jalgebra.2013.10.022

M3 - Article

VL - 399

SP - 948

EP - 959

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -

Finite permutation groups with a regular dihedral subgroup, and edge-transitive dihedrants

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