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Details of talk

TitleOn Finite Base Radical Theory
PresenterLauren Thornton (University of the Sunshine Coast)
Author(s)Miss Lauren Thornton
Time14:00:00 2016-12-06

Base radical class operators can be applied to universal class elements to
identify the different possible base radical and base semisimple classes within
the universal class.  We call the collection of unique operators a radical
theory (RT) semigroup.  Radical and semisimple operator pairs are then matched
to begin a description of the scope of radical theory for the universal class. 
Properties and orders of all possible RT semigroups are given for universal
classes of finite multi-operator groups (such as finite rings and vector
spaces).  Illustrative examples covering the main results are included.