Algebra Seminar 2014 Summer/Fall
|Monday July 28th, Lit 368||Pham Tiep (U. Arizona)||
Nilpotent Hall and abelian Hall subgroups
Abstract: To which extent can one generalize the Sylow theorems? One possible direction is to assume the existence of a nilpotent subgroup whose order and index are coprime. We will discuss recent joint work with various collaborators that gives a criterion to detect the existence of such subgroups in any finite group.