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SUMMARY:Nik Ruskuc (University of St Andrews)
DTSTART:20220405T190000Z
DTEND:20220405T200000Z
DTSTAMP:20260423T004728Z
UID:PALS/34
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PALS/34/">Di
 rect and subdirect products in combinatorial algebra\, groups and semigrou
 ps</a>\nby Nik Ruskuc (University of St Andrews) as part of PALS Panglobal
  Algebra and Logic Seminar\n\n\nAbstract\nFor a while now\, Peter Mayr and
  I have been looking at properties of direct and\nsubdirect products in al
 gebra\, often motivated by some well known or particularly\nnice results f
 rom combinatorial group theory. The topics include finite generation\,\nfi
 nite presentability\, residual finiteness\, infinite subdirect powers\, et
 c. A fairly\nrich landscape has emerged over the years. Perhaps unsurprisi
 ngly the most general\nresults can be obtained in the context of congruenc
 e permutable or modular varieties.\nThis then leaves semigroups outside\, 
 and I have been working on such questions in\nparallel with some of my PhD
  students. In this talk I will try to sketch this\nlandscape\, not so much
  by means of a systematics introduction\, but a few selected\nstrands\, re
 sults and comparisons.\n
LOCATION:https://researchseminars.org/talk/PALS/34/
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