Abstract
We consider the t-core of an s-core partition, when s and t are coprime positive integers. Olsson has shown that the t-core of an s-core is again an s-core, and we examine certain actions of the affine symmetric group on s-cores which preserve the t-core of an s-core. Along the way, we give a new proof of Olssonʼs result. We also give a new proof of a result of Vandehey, showing that there is a simultaneous s- and t-core which contains all others.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Paper version not known
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
