Largeness and deficiency

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• Mariano Zeron-Medina (Cambridge)
• Friday 04 March 2011, 14:00-15:00
• MR4.

If you have a question about this talk, please contact Chris Bowman.

The deficiency of a finite presentation is the number of generators minus the number of relators. We say a group is large if it has a finite index subgroup which surjects onto the non-abelian free group of rank 2.

There are several results in the literature linking deficiency and largeness. We will go over some of these results and see how a modification of deficiency may be used to study the largeness of presentations which have proper power relators.

This talk is part of the Junior Algebra/Logic/Number Theory seminar series.

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