Bounding the residual finiteness of free groups
- π€ Speaker: Martin Kassabov (Southampton)
- π Date & Time: Wednesday 04 May 2011, 14:45 - 16:00
- π Venue: MR5
Abstract
We analyze the question of the minimal index of a normal subgroup in a free group which does not contain a given element. Recent work by BouRabee-McReynolds and Rivin give estimates for the index. By using results on the length of shortest identities in finite simple groups we recover and improve polynomial upper and lower bounds for the order of the quotient. (Joint work with Francesco Matucci)
Series This talk is part of the Algebra and Representation Theory Seminar series.
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Martin Kassabov (Southampton)
Wednesday 04 May 2011, 14:45-16:00