BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Igor Lysenok (Steklov Institute)
DTSTART:20230606T130000Z
DTEND:20230606T150000Z
DTSTAMP:20260423T023019Z
UID:WienGAGT/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WienGAGT/36/
 ">A sample iterated small cancellation theory for groups of Burnside type<
 /a>\nby Igor Lysenok (Steklov Institute) as part of Vienna Geometry and An
 alysis on Groups Seminar\n\n\nAbstract\n<p>The free Burnside group \\(B(m\
 ,n)\\) is the \\(m\\)-generated group defined by all relations of the form
  \\(x^n=1\\). Despite the simplicity of the definition\, obtaining a struc
 tural information about the free Burnside groups is known to be a difficul
 t problem. The primary question of this sort is whether \\(B(m\,n)\\) is f
 inite for given \\(m\, n \\ge 2\\). Starting from fundamental results of N
 ovikov and Adian\, it became known that \\(B(m\,n)\\) is infinite for all 
 sufficiently large exponents \\(n\\). There are known several approaches t
 o prove this result and to establish other properties of groups \\(B(m\,n)
 \\) in the `infinite' case. However\, even simpler ones are quite technica
 l and require a large lower bound on the exponent \\(n\\) (as odd \\(n \\g
 t 10^{10}\\) in Ol'shanskii's approach).</p>\n<p>The aim of the talk is to
  present yet another approach to free Burnside groups of odd exponent \\(n
 \\) with \\(m\\ge2\\) generators based on a version of iterated small canc
 ellation theory. The approach works for a `moderate' bound \\(n \\gt 2000\
 \). In the introductory part\, I make a brief survey of results around Bur
 nside groups and give an informal introduction to the small cancellation t
 heory.</p>\n
LOCATION:https://researchseminars.org/talk/WienGAGT/36/
END:VEVENT
END:VCALENDAR