SEMINAR: Groups and Combinatorics Seminar: On the vanishing graph of finite groups


Groups and Combinatorics Seminar: On the vanishing graph of finite groups 
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Groups and Combinatorics Seminar
Pablo Spiga (UWA)
will speak
On the vanishing graph of finite groups
at 12 noon Tuesday 3rd of May in MLR2
Abstract: In this talk, we investigate a graph Gamma encoding some information on the zeros of the irreducible complex characters of a finite group G. (We say that the element g of G is a zero, if there exists an irreducible complex character $ hi$ with $ hi(g)=0$.) This graph Gamma is called "the vanishing graph" of G. The vertices of Gamma are the primes p such that G contains a zero whose order is divisible by p. Moreover, the edges of Gamma are the pairs {p,q} such that G contains a
zero whose order is divisible by pq.
Clearly, Gamma is a subgraph of the prime graph. In this talk, we study
the density of the graph Gamma and we show how some geometrical
properties of Gamma generalise two classical character theory results
of Thompson and of ItoMichler.
Speaker(s) 
Pablo Spiga

Location 
Maths Lecture Room 2


Contact 
Michael Giudici
<[email protected]>

Start 
Tue, 03 May 2011 12:00

End 
Tue, 03 May 2011 12:45

Submitted by 
Michael Giudici <[email protected]>

Last Updated 
Tue, 03 May 2011 08:58

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