On primitive subgroups of full affine groups of finite semi-fields
Gespeichert in:
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)
Online Zugang:
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| 100 | 1 | |a Shchukin |D K. K. | |
| 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 | ||
| 773 | 0 | |t Discrete Mathematics and Applications |d Walter de Gruyter |g 13/6(2003-12-01), 613-618 |x 0924-9265 |q 13:6<613 |1 2003 |2 13 |o dma | |
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| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Shchukin |D K. K. | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Discrete Mathematics and Applications |d Walter de Gruyter |g 13/6(2003-12-01), 613-618 |x 0924-9265 |q 13:6<613 |1 2003 |2 13 |o dma | ||
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