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CMS Krieger-Nelson Lecture/ Conférence Krieger-Nelson de la SMC

C. KANTA GUPTA, Department of Mathematics, University of Manitoba, Winnipeg, Manitoba  R3T 2N2
Varieties of groups and group representations

The title of my talk refers to the so-called Finite Basis Problem for the varieties of groups and group representations. A brief introduction to the problem will be followed by some recent developments in the area. The discussion will include, among other things, a recent construction of a free group G of a variety such that G satisfies the maximal condition on its verbal subgroups whereas its group algebra KG (K, a field of characteristic 2) does not satisfy the maximal condition on its verbal ideals. This settles a problem raised by Plotkin and Vovsi (1983).

 


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