A new general-purpose diameter bound for finite groups, depending only on composition-factor diameters and maximal normal abelian exponent, implies polylogarithmic diameters for anabelian groups with bounded-rank factors and polynomial diameters for transitive soluble subgroups of S_n.
Kohl,A bound on the order of the outer automorphism group of a finite simple group of given order(2003), available at https://stefan-kohl.github.io/preprints/ outbound.pdf
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.GR 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Diameter bounds for arbitrary finite groups and applications
A new general-purpose diameter bound for finite groups, depending only on composition-factor diameters and maximal normal abelian exponent, implies polylogarithmic diameters for anabelian groups with bounded-rank factors and polynomial diameters for transitive soluble subgroups of S_n.