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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Conjugacy problems in GL(n,Z)

## Conjugacy problems in GL(n,Z)Add to your list(s) Download to your calendar using vCal - Bettina Eick (Technische UniversitÃ¤t Braunschweig)
- Thursday 30 January 2020, 11:30-12:20
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact INI IT. GRAW02 - Computational and algorithmic methods The talk describes a practical algorithm to solve the conjugacy 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 if A and B are conjugate in GL(n,Z) and, if so, then to determine a conjugating element, and they allow to compute generators for the centralizer of A in GL(n,Z). The talk also discusses possible extensions of 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. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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