A semi-recursion for the number of involutions in special orthogonal groups over finite fields

DOI10.1016/j.ffa.2011.03.002zbMath1283.05032OpenAlexW2069801480MaRDI QIDQ650830

Feiqi Jiang, C. Ryan Vinroot

Publication date: 7 December 2011

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2011.03.002

zbMATH Keywords

involutionsrecursions\(q\)-binomial coefficientsvector spaces over finite fieldscharacter degree sumsspecial orthogonal groups over finite fields

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Linear algebraic groups over finite fields (20G40)

Cites Work

• On proportions of pre-involutions in finite classical groups.
• Bijective methods in the theory of finite vector spaces
• Finding involutions in finite Lie type groups of odd characteristic.
• Real representations of the finite orthogonal and symplectic groups of odd characteristic
• The Eulerian generating function of \(q\)-derangements
• CHARACTER DEGREE SUMS AND REAL REPRESENTATIONS OF FINITE CLASSICAL GROUPS OF ODD CHARACTERISTIC
• Igusa-type functions associated to finite formed spaces and their functional equations
• On Recursions Connected With Symmetric Groups I
• Quantum calculus
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