Invariance groups of finite functions and orbit equivalence of permutation groups.

DOI10.1515/math-2015-0010zbMath1319.06003arXiv1210.1015OpenAlexW2089839575MaRDI QIDQ2257470

Tamás Waldhauser, Reinhard Pöschel, Géza Makay, Eszter K. Horváth

Publication date: 25 February 2015

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.1015

zbMATH Keywords

symmetric groupsfunctions of several variablessymmetry groupsalternating groupsinvariance groupsGalois connectionsorbit equivalence of permutation groups

Mathematics Subject Classification ID

Related Items (5)

Totally symmetric functions are reconstructible from identification minors ⋮ Orbit closed permutation groups, relation groups, and simple groups ⋮ Cut approach to invariance groups of lattice-valued functions ⋮ Invariance groups of functions and related Galois connections ⋮ CONTENT AND SINGLETONS BRING UNIQUE IDENTIFICATION MINORS

Uses Software

• JBool

Cites Work

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• On orbit equivalent permutation groups
• On finite permutation groups with the same orbits on unordered sets
• Symmetry groups of Boolean functions and constructions of permutation groups
• Boolean Functions, Invariance Groups, and Parallel Complexity
• Primitive Groups with no Regular Orbits on the Set of Subsets

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