Largeness and deficiency
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 Mariano ZeronMedina (Cambridge)
 Friday 04 March 2011, 14:0015:00
 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 nonabelian 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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