Remarks on Singer cyclic groups and their normalizers.

DOI10.1023/B:DESI.0000029214.50635.17zbMath1065.20064OpenAlexW2054183969MaRDI QIDQ1877341

Antonio Cossidente, Marialuisa J. De Resmini

Publication date: 16 August 2004

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:desi.0000029214.50635.17

zbMATH Keywords

Hall subgroupsnormalizerscentralizersSinger cyclesFrobenius collineation groups

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Linear algebraic groups over finite fields (20G40) Finite affine and projective planes (geometric aspects) (51E15) Combinatorial structures in finite projective spaces (51E20)

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Minimal logarithmic signatures for one type of classical groups ⋮ Unnamed Item ⋮ Automorphism groups and isometries for cyclic orbit codes ⋮ Primitive polynomials, Singer cycles and word-oriented linear feedback shift registers ⋮ On families of graphs of large cycle indicator, matrices of large order and key exchange protocols with nonlinear polynomial maps of small degree ⋮ EXISTENCE OF -ANALOGS OF STEINER SYSTEMS ⋮ Minimal logarithmic signatures for the unitary group \(U_n(q)\) ⋮ On collineation groups of finite projective spaces containing a Singer cycle ⋮ On cyclotomic schemes over finite near-fields ⋮ Minimal logarithmic signatures for finite groups of Lie type ⋮ COCOMPACT LATTICES ON Ã_n BUILDINGS

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