A Note on Primitive Permutation Groups of Prime Power Degree. (11th January 2015)

• Record Type: Journal Article
• Authors: Cai, Qian; Zhang, Hua
• Other Names: Lai Hong J. Academic Editor.
• Is Part Of: Journal of discrete mathematics. Volume 2015(2015)
• Publication Date: 2015-01-11
• Subjects: Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Periodicals; 511.1
• DOI: 10.1155/2015/194741
• Languages: English
• ISSNs: 2090-9837

Abstract

Abstract : Primitive permutation groups of prime power degree are known to be affine type, almost simple type, and product action type. At the present stage finding an explicit classification of primitive groups of affine type seems untractable, while the product action type can usually be reduced to almost simple type. In this paper, we present a short survey of the development of primitive groups of prime power degree, together with a brief description on such groups.