Orbits of permutation groups on the power set

DOI10.1007/s000130050510zbMath0978.20001OpenAlexW2036417466MaRDI QIDQ1592807

Silvio Dolfi

Publication date: 29 January 2002

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050510

zbMATH Keywords

partitionspermutation groupsregular orbits

Mathematics Subject Classification ID

General theory for finite permutation groups (20B05)

Related Items (23)

Base sizes of imprimitive linear groups and orbits of general linear groups on spanning tuples ⋮ Large character degrees of solvable groups with Abelian Sylow 2-subgroups. ⋮ ON PERMUTATION GROUPS AND PARTITIONS ⋮ A proof of Pyber's base size conjecture ⋮ Bases of twisted wreath products ⋮ On covering number of groups with trivial Fitting subgroup ⋮ p-parts of character degrees ⋮ Products of primes in conjugacy class sizes and irreducible character degrees. ⋮ Zeros of Brauer characters and linear actions of finite groups: small primes. ⋮ Nonsolvable groups have a large proportion of vanishing elements ⋮ Minimal heights and defect groups with two character degrees ⋮ On \(p\)-parts of character degrees and conjugacy class sizes of finite groups ⋮ NONVANISHING ELEMENTS FOR BRAUER CHARACTERS ⋮ Distinguishing labeling of the actions of almost simple groups. ⋮ -DIVISIBILITY OF CO-DEGREES OF IRREDUCIBLE CHARACTERS ⋮ Finite groups in which \(p'\)-classes have \(q'\)-length ⋮ Large orbits in coprime actions of solvable groups ⋮ Every coprime linear group admits a base of size two ⋮ The minimal base size for a 𝑝-solvable linear group ⋮ On Huppert's rho-sigma conjecture ⋮ The distinguishing number of quasiprimitive and semiprimitive groups ⋮ On base sizes for primitive groups of product type ⋮ On Pyber’s base size conjecture

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