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Alternating quotients of right-angled Artin groups

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  • UserMichal Buran (DPMMS)
  • ClockFriday 04 May 2018, 15:00-16:00
  • HouseMR13.

If you have a question about this talk, please contact Nils Prigge .

Right-angled Artin groups generalize abelian and free groups. The only relations in RAA Gs is that some generators commute. We get right-angled Coxeter group as a quotient of a RAAG by killing a square of each generator. The Cayley complex associated to RAAG or RACG is a square complex and we can exploit its geometry to get an algebraic statement about these groups. Namely, we get that RAAG or RACG either is a direct product, or it surjects on alternating groups in many ways.

This talk is part of the Junior Geometry Seminar series.

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