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SUMMARY:Eric Swartz (William & Mary)
DTSTART:20200416T200000Z
DTEND:20200416T210000Z
DTSTAMP:20260423T022835Z
UID:WMGAG/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WMGAG/1/">Co
 vering numbers of groups</a>\nby Eric Swartz (William & Mary) as part of G
 AG seminar\n\n\nAbstract\nGiven a group $G$\, $G$ can be expressed as the 
 set-theoretical union of proper subgroups as long as $G$ is not cyclic.  \
 nAssuming $G$ is the union of finitely many proper subgroups\, we define t
 he covering number of $G$\, denoted by $\\sigma(G)$\, to be the minimum nu
 mber of proper subgroups required in such a union.  \nThis begs the questi
 on: which integers are covering numbers of finite groups?  This talk will 
 be about joint work with Martino Garonzi and Luise-Charlotte Kappe in our 
 attempts to answer this question\, \nand the material in this talk should 
 be accessible to undergraduate students.\n\nPassword: the order of the alt
 ernating group $A_8$.\n
LOCATION:https://researchseminars.org/talk/WMGAG/1/
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