FINITARY APPROXIMATIONS OF GROUPS AND THEIR APPLICATIONS

By Andreas Thom. International Congress of Mathematicans, 2017

47 citations recorded by the source corpus.

In these notes we will survey recent results on various finitary approximation properties of infinite groups. We will discuss various restrictions on groups that are approximated for example by finite solvable groups or finite-dimensional unitary groups with the Frobenius metric. Towards the end, we also briefly discuss various applications of those approximation properties to the understanding of the equational theory of a group.

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1. Marcus DE CHIFFRE
2. Lev Yu. Glebsky
3. Alexander Lubotzky
4. Andreas Thom
5. A. Jaikin‐Zapirain

Citations in the corpus

• STABILITY, COHOMOLOGY VANISHING, AND NONAPPROXIMABLE GROUPS (2017, methodology): “This theme knows many variations, ranging from sofic approximations as introduced by Gromov [26] and operator-norm approximations that appeared in the theory of operator algebras [10, 15] to questions related to Connes’ Embedding Problem; see [16, 38, 48] for details.”