On groups containing the additive group of the residue ring or the vector space

DOI10.1515/DMA-2018-0021zbMath1410.20003OpenAlexW2888284303WikidataQ129400354 ScholiaQ129400354MaRDI QIDQ1669580

Boris A. Pogorelov, Marina A. Pudovkina

Publication date: 3 September 2018

Published in: Discrete Mathematics and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dma-2018-0021

zbMATH Keywords

Galois ringadditive regular groupkey addition groupmultiplicative group of residue ringwreath product of permutation groups

Mathematics Subject Classification ID

Cryptography (94A60) General theory for finite permutation groups (20B05)

Cites Work

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• Overgroups of order \(2^n\) additive regular groups of a residue ring and of a vector space.
• Primitive permutation groups that contain a \(2^m\)-cycle
• Orbital derivatives over subgroups and their combinatorial and group-theoretic properties
• On the distance from permutations to imprimitive groups for a fixed system of imprimitivity

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