A group theoretic characterization of linear groups

DOI10.1016/0021-8693(88)90190-1zbMath0647.20045OpenAlexW2080182681MaRDI QIDQ1104423

Alexander Lubotzky

Publication date: 1988

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90190-1

zbMATH Keywords

finitely generated linear groups\(p\)-congruence structuredescending seriesfinite index normal subgroups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Other matrix groups over fields (20H20)

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Cites Work

• Powerful \(p\)-groups. II: \(p\)-adic analytic groups
• \(p\)-adic analytic groups
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
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