Non-Abelian free pro-\(p\)-groups cannot be represented by 2-by-2 matrices
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Publication:1107623
DOI10.1007/BF00969315zbMath0653.20026MaRDI QIDQ1107623
Publication date: 1987
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
Structure of general topological groups (22A05) Topological and ordered rings and modules (16W80) Limits, profinite groups (20E18) Linear algebraic groups over adèles and other rings and schemes (20G35)
Related Items (11)
Groups with identities ⋮ Galois groups of tamely ramified \(p\)-extensions ⋮ A universal deformation ring with unexpected Krull dimension ⋮ Explicit deformation of Galois representations ⋮ Evaluations of noncommutative polynomials on algebras: methods and problems, and the L'vov-Kaplansky conjecture ⋮ Some cases of the Fontaine-Mazur conjecture ⋮ Infinitesimally PI radical algebras ⋮ On pro-2 identities of 2×2 linear groups ⋮ A non-abelian free pro-\(p\) group is not linear over a local field ⋮ On linear just infinite pro-\(p\) groups ⋮ On some \(\Lambda\)-analytic pro-\(p\) groups
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