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SUMMARY:Generating Sequences of Finite Groups - Benjamin Nachman\, Univers
 ity of Cambridge
DTSTART:20130201T140000Z
DTEND:20130201T150000Z
UID:TALK41346@talks.cam.ac.uk
CONTACT:Joanna Fawcett
DESCRIPTION:In an analogy with bases in vector spaces\, one can define a n
 otion of independent generating sets for a group.  While these sets share 
 some properties with vector space bases\, in general they are very differe
 nt.  In particular\, one important fact about n-dimensional vector space b
 ases is that given a set of m<n linearly independent vectors\, one can rep
 lace m of the original basis vectors with the new set.  This property has 
 been studied in the context of groups under the name of the replacement pr
 operty.  We will discuss the replacement property for groups and how it ca
 n be used to study the independent generating sequences of finite groups. 
  Then\, we will focus on a particular example in the family of groups PSL(
 2\,p).  The collaboration for this research includes Keith Dennis (Cornell
 ) and Dan Collins (Princeton).llll
LOCATION:Venue to be confirmed
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