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CATEGORIES:Birmingham and Warwick Algebra Seminar
SUMMARY:The generating graph of direct powers of simple gr
oups - Eleonora Crestani\, University of Southampt
on
DTSTART:20120510T140000Z
DTEND:20120510T150000Z
UID:TALK2593AT
URL:/talk/index/2593
DESCRIPTION:For a finite group _G_\, the generating graph Γ(_G
_) is a graph whose vertices are the non-identity
elements of _G_ and two distinct vertices are conn
ected by an edge if and only if they generate _G_.
Many results on the generation of finite simple g
roups _G_ can be equivalently stated as theorems o
n the generating graph of _G_: this assures to Γ(_
G_) several good properties. In this talk\, we wil
l consider Γ(_G^n^_)\, where _G_ is a finite simpl
e group and _G^n^_ a direct product of _n_ copies
of _G_: we will discuss whether the good generatio
n properties of _G_ affect the generating graph Γ(
_G^n^_) with particular attention to some question
s on the\ndiameter of Γ(_G^n^_).
LOCATION:Watson Building\, Lecture Room A
CONTACT:David Craven
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