Some remarks on Grothendieck pairs

Andrei Jaikin-Zapirain, Alexander Lubotzky

Research output: Contribution to journalArticle

Abstract

We revisit the paper of Alexander Grothendiek where he introduced Grothendieck pairs and discuss the relation between profinite rigidity and left/right Grothendieck rigidity. We also show that various groups are left and/or right Grothendieck rigid and, in particular, all ascending HNN extensiona of finitely generated free groups are right Grothendieck rigid. Along the way we present a number of questions and suggestions for further research.
Original languageEnglish
Number of pages16
Journalarxiv.org
DOIs
StateIn preparation - 4 Jan 2024

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