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 language | English |
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Number of pages | 16 |
Journal | arxiv.org |
DOIs | |
State | In preparation - 4 Jan 2024 |