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Computing the non-abelian tensor product of groups.

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Dr. Robert F. Morse, University of Evansville, Indiana

What
  • Colloquium
  • Algebra Seminar
When Thu, Mar 08, 2001
from 03:10 PM to 04:00 PM
Where RH 128
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Abstract: The non-abelian tensor product of two groups was introduced by Brown and Loday (1987) following ideas of Dennis (1976) and Lue (1976). It is of topological significance. The study of this group construction >from a group theoretical perspective started with Brown, Johnson and Robertson (1987) who computed some non-abelian tensor product for groups of order up to 30. By computing the non-abelian tensor product, we mean finding a presentation for the group which is recognizable or standard. In this talk, we will examine 3 methods for computing the non-abelian tensor product: using Tietze transformations, using an embedding theorem of Ellis and Leonard (1995), and cross pairings.

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