IBIS primitive groups of almost simple type
Fabio Mastrogiacomo, Pablo Spiga

TL;DR
This paper classifies a specific class of finite primitive groups called IBIS groups, focusing on those of almost simple type with a base size of at least 6, advancing understanding of their structure.
Contribution
It provides a classification of finite almost simple primitive IBIS groups with large base size, a previously unexplored category in group theory.
Findings
Identified all almost simple primitive IBIS groups with base size ≥ 6.
Established structural properties of these groups.
Extended the classification of IBIS groups in permutation group theory.
Abstract
Let be a finite permutation group on . An ordered sequence of elements of is an irredundant base for if the pointwise stabilizer is trivial and no point is fixed by the stabilizer of its predecessors. The minimal cardinality of a base is said to be the base size of . If all irredundant bases of have the same cardinality, 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 .
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
Topicsgraph theory and CDMA systems · Finite Group Theory Research
