3 papers
math.GR2015
On the Hurwitz action in finite Coxeter groups
Barbara Baumeister, Thomas Gobet, Kieran Roberts +1
We provide a necessary and sufficient condition on an element of a finite Coxeter group to ensure the transitivity of the Hurwitz action on its set of reduced decompositions into p…
math.RA2014
Recovering the Lie algebra from its extremal geometry
Hans Cuypers, Kieran Roberts, Sergey Shpectorov
An element of a Lie algebra over the field is extremal if . Under minor assumptions, it is known that, for a simple Lie algebra , the extremal geometry…
math.GR2013
A class of 2-groups admitting an action of the symmetric group of degree 3
Kieran Roberts, Sergey Shpectorov
A biextraspecial group of rank is an extension of a special 2-group of the form by , such that the 3-element from acts on fixed-point-fr…