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.
Highlights
Transitive groups, in particular, primitive groups, of special degrees have received much attention in the literature
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
We present a short survey of the development of primitive groups of prime power degree, together with a brief description on such groups
Summary
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. We present a short survey of the development of primitive groups of prime power degree, together with a brief description on such groups
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