Article
Licensed
Unlicensed
Requires Authentication
On primitive subgroups of full affine groups of finite semi-fields
-
K. K. Shchukin
Published/Copyright:
December 1, 2003
In this paper, we continue and complete the study of finite primitive groups whose stabiliser of a point contains an Abelian normal subgroup acting irreducibly (by conjugations) on an Abelian normal subgroup of the whole group. Each such group H is isomorphic to the subgroup 
of the full affine group 
of the field 
, where the symbol of the semi-direct product λ unites the ν-power of the cyclic group Zp, the metacyclic group Θ, and some group of automorphisms ψ of the field . Using the Zassenhaus classification of finite semi-fields, we enumerate primitive subgroups of the full affine groups of finite semi-fields.
Published Online: 2003-12-01
Published in Print: 2003-12-01
Copyright 2003, Walter de Gruyter
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Constantin Constantinovich Mardzhanishvili (to the centenary of the birth)
- Structural equivalence of s-tuples in random discrete sequences
- Limit theorems and testing hypotheses on Markov chains
- On the complexity of unitary transformations
- Inert matrices and matchings in partially oriented trees
- On primitive subgroups of full affine groups of finite semi-fields
- A semi on-line algorithm for the partition problem
- On limit theorems for the generalised allocation scheme
- On the number and structure of sum-free sets in a segment of positive integers
Articles in the same Issue
- Constantin Constantinovich Mardzhanishvili (to the centenary of the birth)
- Structural equivalence of s-tuples in random discrete sequences
- Limit theorems and testing hypotheses on Markov chains
- On the complexity of unitary transformations
- Inert matrices and matchings in partially oriented trees
- On primitive subgroups of full affine groups of finite semi-fields
- A semi on-line algorithm for the partition problem
- On limit theorems for the generalised allocation scheme
- On the number and structure of sum-free sets in a segment of positive integers
