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SUMMARY:Viji Thomas (Indian Institute of Science Education and Research Th
 iruvananthapuram)
DTSTART:20211118T170000Z
DTEND:20211118T180000Z
DTSTAMP:20260423T021329Z
UID:GOThIC/46
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GOThIC/46/">
 Schur’s exponent conjecture and related problems</a>\nby Viji Thomas (In
 dian Institute of Science Education and Research Thiruvananthapuram) as pa
 rt of GOThIC - Ischia Online Group Theory Conference\n\n\nAbstract\nAssume
  $G$ is a finite $p$-group\, and let $S$ be a Sylow $p$-subgroup of $\\ope
 ratorname{Aut}(G)$ with $\\operatorname{exp}(S) = q$. We\nprove that if $G
 $ is of class at most $p^{2} − 1$\, then $\\operatorname{exp}(G) \\mid p
 ^{2}\nq^{3}$\, and if $G$ is a metabelian $p$-group of class\nat most $2 p
  − 1$\, then $\\operatorname{exp}(G) \\mid p q^{3}$. To obtain this resu
 lt\, we will first speak about Schur’s exponent conjecture and related p
 roblems. This is joint work with my PhD student P. Komma.\n
LOCATION:https://researchseminars.org/talk/GOThIC/46/
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