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SUMMARY:Derek J. S. Robinson (University of Illinois at Urbana-Champaign)
DTSTART:20201105T160000Z
DTEND:20201105T170000Z
DTSTAMP:20260423T053015Z
UID:GOThIC/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GOThIC/5/">T
 he seriality problem for Sylow-permutable subgroups in locally finite grou
 ps</a>\nby Derek J. S. Robinson (University of Illinois at Urbana-Champaig
 n) as part of GOThIC - Ischia Online Group Theory Conference\n\n\nAbstract
 \nA subgroup $H$ of a group $G$ is said to be weakly Sylow permutable in $
 G$ if $HP=PH$ for all Sylow subgroups $P$ of $G$ and all primes $p$ dividi
 ng orders of elements of $H$. Otto Kegel proved that if $G$ is finite\, th
 en $H$ is subnormal in $G$. This does not hold for infinite groups. The Se
 riality Problem is whether Kegel’s theorem can be extended to locally fi
 nite groups if "subnormal” is replaced by “serial”. I will discuss t
 he background to the problem and recent progress towards its solution.\n
LOCATION:https://researchseminars.org/talk/GOThIC/5/
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