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SUMMARY:Generating Sequences of Finite Groups - Benjamin Nachman\, Univers
 ity of Cambridge
DTSTART:20130201T140000Z
DTEND:20130201T150000Z
UID:TALK41566@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 r
 eplace m of the original basis vectors with the new set.  This property ha
 s been studied in the context of groups under the name of the replacement 
 property.  We will discuss the replacement property for groups and how it 
 can be used to study the independent generating sequences of finite groups
 .  Then\, we will focus on a particular example in the family of groups PS
 L(2\,p). The collaboration for this research includes Keith Dennis (Cornel
 l) and Dan Collins (Princeton).
LOCATION:MR4
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