Displaying similar documents to “A note on recursively enumerable predicates in groups”

Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics

Tatiana Bandman, Shelly Garion, Boris Kunyavskiĭ (2014)

Open Mathematics

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We present a survey of results on word equations in simple groups, as well as their analogues and generalizations, which were obtained over the past decade using various methods: group-theoretic and coming from algebraic and arithmetic geometry, number theory, dynamical systems and computer algebra. Our focus is on interrelations of these machineries which led to numerous spectacular achievements, including solutions of several long-standing problems.

Asymptotic dimension of discrete groups

A. Dranishnikov, J. Smith (2006)

Fundamenta Mathematicae

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We extend Gromov's notion of asymptotic dimension of finitely generated groups to all discrete groups. In particular, we extend the Hurewicz type theorem proven in [B-D2] to general groups. Then we use this extension to prove a formula for the asymptotic dimension of finitely generated solvable groups in terms of their Hirsch length.

The groups of order at most 2000.

Besche, Hans Ulrich, Eick, Bettina, O'Brien, E.A. (2001)

Electronic Research Announcements of the American Mathematical Society [electronic only]

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