Cycle indices of linear, affine, and projective groups
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Publication:1368764
DOI10.1016/S0024-3795(96)00530-7zbMath0891.20001WikidataQ29541753 ScholiaQ29541753MaRDI QIDQ1368764
Publication date: 19 July 1998
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
general linear groupssymmetric groupsaffine groupsfinite group actionsnumbers of cyclesfinite \(G\)-setscycle indicesisometry classes of linear codes
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Related Items (14)
Coset-wise affine functions and cycle types of complete mappings ⋮ Combinatorial families enumerated by quasi-polynomials ⋮ Enumeration of orbits on cycles for linear and affine groups ⋮ A general construction of regular complete permutation polynomials ⋮ Orbits of rational \(n\)-sets of projective spaces under the action of the linear group ⋮ The number of affine equivalent classes and extended affine equivalent classes of vectorial Boolean functions ⋮ Random matrix theory over finite fields ⋮ Isometry classes of codes arising from sets of points in the projective plane ⋮ Isometry classes of codes arising from sets of points in the projective plane ⋮ Asymptotic numbers of non-equivalent codes in three notions of equivalence ⋮ Isotopic classes of transversals in dihedral group \(D_{2n}\), \(n\) odd ⋮ Some Characterizations of a Normal Subgroup of a Group and Isotopic Classes of Transversals ⋮ Metacommutation of primes in central simple algebras ⋮ Metacommutation of primes in Eichler orders
Uses Software
Cites Work
- The cycle structure of a linear transformation over a finite field
- Consequences of the Brylawski-Lucas theorem for binary matroids
- The Characters of the Finite General Linear Groups
- On the Classification of Boolean Functions by the General Linear and Affine Groups
- On the cycle index of a product of permutation groups
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