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SUMMARY:Conjugacy problems in GL(n\,Z) - Bettina Eick (Technische Universi
 tät Braunschweig)
DTSTART:20200130T113000Z
DTEND:20200130T122000Z
UID:TALK138181@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The talk describes a practical algorithm to solve the  conjuga
 cy and the centralizer problems in GL(n\,Z) in full generality\; that  is\
 , given two matrices A and B in GL(n\,Q) these algorithms allow to check i
 f  A and B are conjugate in GL(n\,Z) and\, if so\, then to determine a con
 jugating  element\, and they allow to compute generators for the centraliz
 er of A in  GL(n\,Z).&nbsp\; The talk also discusses possible extensions o
 f this algorithm to  finitely generated abelian or nilpotent subgroups of 
 GL(n\,Z). The latter are  open problems in computational group theory and 
 they have interesting  applications.
LOCATION:Seminar Room 1\, Newton Institute
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