caa a22 4500 378855662 CHVBK 20180305123334.0 cr unu---uuuuu 161128e20031201xx s 000 0 eng 10.1515/156939203322733318 doi (NATIONALLICENCE)gruyter-10.1515/156939203322733318 Shchukin K. K. On primitive subgroups of full affine groups of finite semi-fields [Elektronische Daten] [K. K. Shchukin] 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. Copyright 2003, Walter de Gruyter Discrete Mathematics and Applications Walter de Gruyter 13/6(2003-12-01), 613-618 0924-9265 13:6<613 2003 13 dma https://doi.org/10.1515/156939203322733318 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/156939203322733318 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Shchukin K. K. NATIONALLICENCE 773 0- Discrete Mathematics and Applications Walter de Gruyter 13/6(2003-12-01), 613-618 0924-9265 13:6<613 2003 13 dma CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter