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SUMMARY:Petr Vojtěchovský (University of Denver\, USA)
DTSTART:20231030T150000Z
DTEND:20231030T160000Z
DTSTAMP:20260423T021123Z
UID:ENAAS/41
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/41/">S
 olvability and nilpotence just beyond groups</a>\nby Petr Vojtěchovský (
 University of Denver\, USA) as part of European Non-Associative Algebra Se
 minar\n\n\nAbstract\nSolvability and nilpotence arise naturally from the c
 ommutator theory in congruence modular varieties. In the presence of assoc
 iativity\, the resulting concepts agree with the classical concepts of gro
 up theory. But the two kinds of solvability differ in loops ( = not necess
 arily associative groups) and it is a difficult question to determine the 
 boundary where the two theories coincide. I will review the general theory
  and report on recent results\, particularly in Moufang loops. For instanc
 e\, we will prove the Odd Order Theorem for Moufang loops for the stronger
  notion of solvability. This is joint work with Ales Drapal and David Stan
 ovsky.\n
LOCATION:https://researchseminars.org/talk/ENAAS/41/
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