Cascade Product of Permutation Groups

Speaker: Attila Egri-Nagy

Affiliation: University of Western Sydney

Time: Monday 26/08/2013 from 14:20 to 14:40

Venue: Access Grid UWS. Presented from Parramatta (EB.1.32), accessible from Campbelltown (26.1.50) and Penrith (Y239).

Abstract:

Motivated by computational issues in algebraic automata theory here we define
the cascade product of permutation groups as an external product. It is the most general hierarchical product since it uses arbitrary functions to combine a linearly ordered set of groups. In other words, cascade products are the substructures of the iterated wreath product. We show how direct, semidirect and wreath products can be described as cascade products and we also discuss examples of composite groups that can only be constructed exactly by cascade products.

Talk presented at 30th Victorian Algebra Conference, Melbourne, 2012 Nov 29-30.

Biography: Attila Egri-Nagy is a postdoctoral research fellow of CRM working on the applications of abstract algebra in biological problems.