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SUMMARY:Agnieszka Bier (Silesian University of Technology)
DTSTART:20210225T160000Z
DTEND:20210225T170000Z
DTSTAMP:20260423T021322Z
UID:GOThIC/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GOThIC/18/">
 On weak Sierpinski subsets in groups</a>\nby Agnieszka Bier (Silesian Univ
 ersity of Technology) as part of GOThIC - Ischia Online Group Theory Confe
 rence\n\n\nAbstract\nA subset $E$ in a group $G$ is called a weak Sierpins
 ki subset if for some $g\, h$ in $G$ and $a$ different from $b$ in $E$\, w
 e have $gE = E \\setminus \\{a\\}$ and $hE = E \\setminus \\{b\\}$. In the
  talk we discuss the subgroup generated by $g$ and $h$\, and show that eit
 her it is free over $(g\,h)$ or it has presentation  $G(k)=\\left\\langle 
 g\, h \\mid (h^{-1}g)^k \\right\\rangle$. We also characterize all weak Si
 erpinski subsets in the groups $G(k)$. This is joint work with Y. Cornulie
 r and P. Slanina.\n
LOCATION:https://researchseminars.org/talk/GOThIC/18/
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