On primitive subgroups of full affine groups of finite semi-fields

Verfasser / Beitragende:
[K. K. Shchukin]
Ort, Verlag, Jahr:
2003
Enthalten in:
Discrete Mathematics and Applications, 13/6(2003-12-01), 613-618
Format:
Artikel (online)
ID: 378855662
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245 1 0 |a On primitive subgroups of full affine groups of finite semi-fields  |h [Elektronische Daten]  |c [K. K. Shchukin] 
520 3 |a 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. 
540 |a Copyright 2003, Walter de Gruyter 
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