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CATEGORIES:Algebra Seminar
SUMMARY:Finite simple groups\, prime order elements and wi
dth - Alex Malcolm (Bristol)
DTSTART:20210225T150000Z
DTEND:20210225T160000Z
UID:TALK4513AT
URL:/talk/index/4513
DESCRIPTION:The generation of finite simple groups has been a
thriving area of research for many years. Since it
was established that each is generated by a pair
of elements\, many interesting refinements have fo
llowed: for instance\, determining the existence o
f generating pairs of prescribed orders.\n\nMore r
ecently the notion of width has provided an additi
onal perspective on generation\, measuring how eff
iciently a chosen subset generates a group. For ex
ample we may ask\, can every element be written as
a product of at most 2\, or perhaps 3\, elements
from a fixed conjugacy class? Answering such quest
ions relies on a range of tools involving subgroup
structure and character theory.\n\nIn this talk w
e will examine the width of finite simple groups w
ith respect to elements of a fixed prime order. We
will report on sharp bounds for particular famili
es\, and answer questions concerning Lie-type grou
ps of unbounded rank.
LOCATION:http://tinyurl.com/bhamalgsem
CONTACT:Lewis Topley
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