Grothendieck's problem on profinite completions and representations of groups

DOI10.1007/BF00534194zbMath0722.20020OpenAlexW2322451661MaRDI QIDQ755886

O. I. Tavgen', Vladimir Platonov

Publication date: 1990

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00534194

zbMATH Keywords

finitely generated residually finite groupsprofinite completionsalgebraic groupnumber fieldalgebraic varietycongruence kernelsGrothendieck's problemgroup of arithmetic typen-dimensional charactersS-arithmetic groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Automorphisms of infinite groups (20E36) Linear algebraic groups over global fields and their integers (20G30) Residual properties and generalizations; residually finite groups (20E26) Limits, profinite groups (20E18)

Related Items (6)

The true prosoluble completion of a group: examples and open problems. ⋮ All finitely generated 3-manifold groups are Grothendieck rigid ⋮ Profinite Rigidity and Free Groups ⋮ MATRIX-MFO tandem workshop: Invariants and structures in low-dimensional topology. Abstracts from the MATRIX-MFO tandem workshop held September 5--11, 2021 (hybrid meeting) ⋮ Profinite rigidity, Kleinian groups, and the cofinite Hopf property ⋮ On absolutely profinitely solitary lattices in higher rank Lie groups

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