University of Cambridge > Talks.cam > Combinatorics Seminar > Cyclically Covering Subspaces in F 2 to the n

Cyclically Covering Subspaces in F 2 to the n

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  • UserJames Aaronson (University of Oxford)
  • ClockThursday 17 October 2019, 14:30-15:30
  • HouseMR12.

If you have a question about this talk, please contact Andrew Thomason.

We say that a subspace of F 2 to the n is cyclically covering if the union of its cyclic shifts is the whole space. We show that, if $p$ is a prime with 2 as a primitive root, then any cyclically covering subspace in F 2 to the p must have codimension at most 2, (conditionally) answering a question of Cameron from 1991. In this talk, we will discuss some of the ideas involved in the proof.

Joint work with Carla Groenland and Tom Johnston.

This talk is part of the Combinatorics Seminar series.

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