IBIS primitive groups of almost simple type
Year: 2025
Type: article
Abstract: Let G be a finite permutation group on Ω. An ordered sequence ( ω 1 … , ω ℓ ) of elements of Ω is an irredundant base for G if the pointwise stabilizer is trivial and no point is fixed by the stabilizer of its predecessors. The minimal cardinality of an irredundant base is said to be the base size of G . If all irredundant bases of G have the same cardinality, G is said to be an IBIS group. In this paper, we classify the finite almost simple primitive IBIS groups whose base size is at least 6.
Source: Journal of Algebra
Authors: Fabio Mastrogiacomo, Pablo Spiga
Institutions: University of Pavia, University of Milano-Bicocca
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,310
OpenAlex ID: W4408220954