University of Cambridge > Talks.cam > Algebra and Representation Theory Seminar > Bounding the residual finiteness of free groups

Bounding the residual finiteness of free groups

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  • UserMartin Kassabov (Southampton)
  • ClockWednesday 04 May 2011, 14:45-16:00
  • HouseMR5.

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Note the non-standard time and venue

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)

This talk is part of the Algebra and Representation Theory Seminar series.

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