Cardinalities of Irredundant Bases of Finite Primitive Groups
Abstract
Let [Formula: see text] be a finite permutation group acting on a set [Formula: see text]. An ordered sequence [Formula: see text] of elements of [Formula: see text] is an irredundant base for [Formula: see text] if the pointwise stabilizer of the sequence is trivial and no point is fixed by the stabilizer of its predecessors. We show that any interval of natural numbers can be realized as the set of cardinalities of irredundant bases for some finite primitive group.
Fields of Study & Subjects
Finite Group Theory Research
Advanced Algebra and Logic
Rings
Modules
and Algebras
Publication details
- Journal / source
- Algebra Colloquium
- Publisher
- World Scientific Pub Co Pte Ltd
- Volume
- 33
- Issue
- 03
- Pages
- 511–514
- Publication date
- 27 August 2026
- Language
- EN