Some measures of finite groups related to permutation bases

2014/08/05 by Peter J‎. Cameron, Cameron, Peter J.
Mathematics · Engineering · Computer Science · #Finite Group Theory Research #graph theory and CDMA systems #Coding theory and cryptography

paper · pdf · doi:10.48550/arxiv.1408.0968

Abstract

I define three "measures" of the complicatedness of a finite group in terms of bases in permutation representations of the group, and consider their relationships to other measures.

Related

• The thirty-seven measures on permutations
• The minimal degree of permutation representations of finite groups
• Various Representation Dimensions associated with a Finite Group
• Formations of Finite Groups in Polynomial Time: \mathfrakF-residuals and \mathfrakF-subnormality
• Representation Theory of Finite Groups