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SUMMARY:Scott Harper (University of Bristol)
DTSTART:20201105T130000Z
DTEND:20201105T140000Z
DTSTAMP:20260423T024700Z
UID:AlBicocca/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AlBicocca/5/
 ">The spread of a finite group</a>\nby Scott Harper (University of Bristol
 ) as part of Al@Bicocca take-away\n\n\nAbstract\nMany interesting and surp
 rising results have arisen from studying generating sets for groups. For e
 xample\, every finite simple group has a generating pair\, and moreover Gu
 ralnick and Kantor proved that in a finite simple group every nontrivial e
 lement is contained in a generating pair. This talk will focus on recent w
 ork with Burness and Guralnick\, that completely classifies the finite gro
 ups where every nontrivial element is contained in a generating pair and t
 hus settles a 2008 conjecture of Breuer\, Guralnick and Kantor. I will als
 o give a graph theoretic interpretation of the topic\, highlight how our w
 ork answers a 1975 question of Brenner and Wiegold and discuss what is kno
 wn for infinite groups.\n
LOCATION:https://researchseminars.org/talk/AlBicocca/5/
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