GOLOD–SHAFAREVICH GROUPS: A SURVEY

DOI10.1142/S0218196712300010zbMath1286.20033arXiv1206.0490OpenAlexW2165398720MaRDI QIDQ2909484

Mikhail V. Ershov

Publication date: 30 August 2012

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.0490

zbMATH Keywords

finite \(p\)-groupsgraded algebrassubgroups of finite indexsubgroup growthnumbers of generatorspro-\(p\) groupsBurnside problemGolod-Shafarevich groupsinfinite torsion groupsKurosh-Levitzky problemclass field tower probleminfinite groups with finite subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Asymptotic properties of groups (20F69) Graded rings and modules (associative rings and algebras) (16W50) Limits, profinite groups (20E18) Modular Lie (super)algebras (17B50)

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