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SUMMARY:Maria Loukaki (University of Crete)
DTSTART:20230220T140000Z
DTEND:20230220T150000Z
DTSTAMP:20260423T021236Z
UID:GANT/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GANT/21/">Co
 ngruences in finite $p$-groups</a>\nby Maria Loukaki (University of Crete)
  as part of Greek Algebra & Number Theory Seminar\n\n\nAbstract\nLet $G$ b
 e a finite $p$-group. How many abelian subgroups of a\ngiven order does $G
 $ have $\\pmod p$? Elementary abelian? What about normal\nabelian or norma
 l elementary abelian? This type of questions we will try to\nanswer\, for 
 any subgroup-closed class $\\mathfrak{X}$ of finite groups\, in\nthis join
 t work with S. Aivazidis. Relations to known results\, a sharpened\nversio
 n of a celebrated theorem of Burnside and some open questions are\nalso pr
 esented.\n
LOCATION:https://researchseminars.org/talk/GANT/21/
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