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SUMMARY:Laszlo Zadori (University of Szeged\, Hungary)
DTSTART:20211102T190000Z
DTEND:20211102T200000Z
DTSTAMP:20260423T004732Z
UID:PALS/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PALS/16/">On
  the primeness of 2-permutability</a>\nby Laszlo Zadori (University of Sze
 ged\, Hungary) as part of PALS Panglobal Algebra and Logic Seminar\n\n\nAb
 stract\nIn the talk\, I sketch a semantical proof of the conjecture of Gar
 cia and Taylor that congruence permutability is a prime Maltsev condition 
 in the lattice of interpretability types of varieties. The proof was obtai
 ned jointly with Gyenizse and Maróti\, and it is based on a combinatorial
  property of certain digraph powers. I also discuss how the present proof 
 is related to the proof of our earlier result on the non-primeness of n-pe
 rmutability when n>4 and some other result that we obtained for 3-permutab
 ility.\n
LOCATION:https://researchseminars.org/talk/PALS/16/
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