Publication:5509036
From MaRDI portal
zbMath0136.02602MaRDI QIDQ5509036
E. S. Golod, I. R. Shafarevich
Publication date: 1964
Full work available at URL: http://mathnet.ru/eng/izv/v28/i2/p261
Related Items
Sieve methods in group theory I: Powers in linear groups, Modular forms and an explicit Chebotarev variant of the Brun-Titchmarsh theorem, Reciprocity in the Langlands program since Fermat's last theorem, A semigroup of paths on a sequence of uniformly elliptic complexes, The finitude of tamely ramified pro-\(p\) extensions of number fields with cyclic \(p\)-class groups, On nil algebras and a problem of Passman concerning nilpotent free algebras, Zassenhaus and lower central filtrations of pro-\(p\) groups considered as modules, Differential graded algebra over quotients of skew polynomial rings by normal elements, Growth of Fine Selmer Groups in Infinite Towers, Finitely presented expansions of groups, semigroups, and algebras, Maximal 2-extensions with restricted ramification, Infinitesimally PI radical algebras, A polynomial ring that is Jacobson radical and not nil., Evgenii Solomonovich Golod, On the dimension of the Schur multiplier of nilpotent lie algebras, Matrix wreath products of algebras and embedding theorems, Golod–Shafarevich-Type Theorems and Potential Algebras, Stabilization in non-abelian Iwasawa theory, Periodic free resolutions from twisted matrix factorizations, Residually finite algorithmically finite groups, their subgroups and direct products., Algebraic rings with compact topology, An explicit bound for the least prime ideal in the Chebotarev density theorem, 2-generator Golod p-groups, A positive proportion of some quadratic number fields with infinite Hilbert 2-class field tower, Köthe's problem, Kurosh-Levitzky problem and graded rings, Deficiency zero non-metacyclic \(p\)-groups of order less than 1000., A Connected 3-State Reversible Mealy Automaton Cannot Generate an Infinite Burnside Group, Fractal nil graded Lie superalgebras, Extensions of PI-algebras, The growth of fine Selmer groups, On properties of the lower central series of associative algebras, Burnside's problem, spanning trees and tilings., Constructive high-dimensional sphere packings, On the growth of \(p\)-class groups in \(p\)-class field towers, Fractal just infinite nil Lie superalgebra of finite width, Sul problema di Burnside per i semigruppi e i linguaggi, A note on the 3-class field tower of a cyclic cubic field., Three dimensional Sklyanin algebras and Gröbner bases, Complete metric Jordan algebras, Free subalgebras of graded algebras, On the rank of the 2-class group of some imaginary biquadratic number fields, The order of the product of two elements in the periodic groups, On the Hilbert 2-class field tower of some abelian 2-extensions over the field of rational numbers, Structure of insertion property by powers, Golod-Shafarevich algebras, free subalgebras and Noetherian images., The extrinsic primitive torsion problem, Counting isospectral manifolds, Growth functions, rewriting systems, and the Euler characteristic, Growth, relations and prime spectrum of monomial algebras, Shirshov's theorem and division rings that are left algebraic over a subfield., On graded characterizations of finite dimensionality for algebraic algebras, On the maximal unramified pro-2-extension over the cyclotomic \(\mathbb Z_2\)-extension of an imaginary quadratic field, On bireversible Mealy automata and the Burnside problem, Optimal 5-step nilpotent quadratic algebras, Finitely presented expansions of computably enumerable semigroups, Manifolds counting and class field towers, An automaton group with undecidable order and Engel problems, Trace form associated to cyclic number fields of ramified odd prime degree, Self-similar Lie algebras, A Connected 3-State Reversible Mealy Automaton Cannot Generate an Infinite Burnside Group, Imaginary quadratic fields with \(Cl_2(k)\simeq (2,2,2)\)., Algorithmically finite groups., A construction of a finitely presented semigroup containing an infinite square-free ideal with zero multiplication, Automaton (Semi)groups: Wang Tilings and Schreier Tries, Pólya fields, Pólya groups and Pólya extensions: a question of capitulation, Mild pro-2-groups and 2-extensions of \(\mathbb Q\) with restricted ramification, Connected components of compact matrix quantum groups and finiteness conditions, The Burnside problem for \(\text{Diff}_{\omega}(\mathbb{S}^2)\), Actions of 2-groups of bounded exponent on manifolds, Zero-divisor placement, a condition of Camillo, and the McCoy property, Ore extensions and infinite triangularization, On the Kurosh problem in varieties of algebras, The entropy of graded algebras, PI-groups and PI-representations of groups., Growth, entropy and commutativity of algebras satisfying prescribed relations., On the Kurosh problem for algebras of polynomial growth over a general field., On the 2-class field tower of \(\mathbb Q (\sqrt{2p_1p_2},i)\) and the Galois group of its second Hilbert 2-class field, Computing local zeta functions of groups, algebras, and modules, Graded algebras and their differential graded extensions., Classification of nonsemicommutative rings, The Tarski numbers of groups, On non-commutative formal deformations of coherent sheaves on an algebraic variety, Asymptotically optimal \(k\)-step nilpotency of quadratic algebras and the Fibonacci numbers, Golod-Shafarevich groups with property \((T)\) and Kac-Moody groups., On matrix wreath products of algebras, Finite dimensional semigroup quadratic algebras with the minimal number of relations, Progress in free associative algebras, The Siegel-Brauer theorem concerning parameters of algebraic number fields, The Levitzki radical in associative and Jordan rings, An infinite dimensional affine nil algebra with finite Gelfand-Kirillov dimension, Eine Bemerkung über DOTU-Matrizen, Pólya fields and Pólya numbers, Irreducible characters with bounded root Artin conductor, Regulatorabschätzungen für total reelle algebraische Zahlkörper, Quivers supporting twisted Calabi-Yau algebras, Certain finite groups, Group Algebras and Algebras of Golod-Shafarevich, Generator and relation ranks for finite-dimensional nilpotent Lie algebras, About the embedding of a number field in a Pólya field, On \(p^2\)-ranks in the class field tower problem, Finite presentations of pro-\(p\) groups and discrete groups, Tours ramifiées infinies de corps de classes. (Infinite ramified class field towers), Explicit bounds for primes in residue classes, On a theorem of Zelmanov, Minimal relations for certain finite p-groups, On a generalization of Clifford algebras, Some cases of the Fontaine-Mazur conjecture. II, A commutativity theorem for division rings and an extension of a result of Faith, A note on Shafarevich and Tate complexes, On the asymptotic number of generators of high rank arithmetic lattices, Parking on transitive unimodular graphs, On finite presentations of inverse semigroups with zero having polynomial growth, Relation modules of finite groups and related topics, Polynomial rings over nil rings need not be nil, A question of Kaplansky, Unramified subextensions of ray class towers, Behaviour of the Frobenius map in a noncommutative world, On pro-unipotent groups satisfying the Golod–Shafarevich condition