On the Finiteness of Certain Soluble Groups
From MaRDI portal
Publication:3265698
DOI10.1112/plms/s3-9.4.595zbMath0091.02501OpenAlexW2060243061MaRDI QIDQ3265698
Publication date: 1959
Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/plms/s3-9.4.595
Related Items
COMBINATORIAL GROUP THEORY, INVERSE MONOIDS, AUTOMATA, AND GLOBAL SEMIGROUP THEORY, Random walks on abelian-by-cyclic groups, On projective representations of finitely generated groups, FC-Groups All of Whose Factor Groups Are Residually Finite, Milnor Property in Finitely Generated Soluble Groups, Closure Operations and Localization of Groups, Groups that are Pairwise Nilpotent, On conormal subgroups, Residually finite groups, On groups with all subgroups norma-by-(finite rank), The Ribes-Zalesskii property of some one relator groups, Some Classes of Indecomposable Varieties of Groups, The inequality of ${\text{SQPS}}$ and ${\text{QSP}}$ as operators on classes of groups, Infinitely presented permutation stable groups and invariant random subgroups of metabelian groups, On monomial representations of finitely generated nilpotent groups, Varieties of soluble groups and a dichotomy of P. Hall, A Note on Finitely Generated Groups, Fibered cohomology classes in dimension three, twisted Alexander polynomials and Novikov homology, The Steinberg representation is irreducible, Finitely generated metabelian groups arising from integer polynomials, Weak commutativity, virtually nilpotent groups, and Dehn functions, On growth of homology torsion in amenable groups, On the embedding of a group in a join of given groups, On generalized hypercenters in artinian modules, Finiteness conditions in soluble groups and Lie algebras, Powers in Finitely Generated Groups, Unnamed Item, Irreducible representations of finitely generated nilpotent groups, Spectra of conjugated ideals in group algebras of abelian groups of finite rank and control theorems, Polars and Their Applications in Directed Interpolation Groups, On the structure of some contranormal-free groups, Nonresidually Finite One-Relator Groups, Group rings, On Supersolubility in Some Groups with Finitely Generated Fitting Radical, Zero divisors and idempotents in group rings, ON THE IRREDUCIBLE REPRESENTATIONS OF SOLUBLE GROUPS OF FINITE RANK, Positive One-Relator Groups, Amenable groups without finitely presented amenable covers, On certain methods of studying ideals in group rings of abelian groups of finite rank, Primitive irreducible representations of nilpotent groups, Bigenetic properties of finitely generated hyper- (Abelian-by-finite) groups, Metabelian groups with the same finite quotients, A Finitely Generated Residually Finite Group with an Unsolvable Word Problem, Induced modules over group algebras of metabelian groups of finite rank, Nilpotent cohomology classes and some examples of groups, A Note on Groups of Intermediate Growth, Completely prime primitive ideals in group algebras of finitely generated nilpotent-by-finite groups, On some generalization of the malnormal subgroups, Primitive noetherian group rings, Finitely Embedded Modules Over Group Rings, Commutative Semilocal Rings Whose Additive or Multiplicative Groups Have Finite Rank, Generic flatness and the nullstellensatz for ore extensions, Wreath Products and Existentially Complete Solvable Groups, Classes of algebras and closure operations, On Modules with Few Minimax Cocentralizers, Primitive Group Rings and Noetherian Rings of Quotients, Groups whose irreducible representations have finite degree, Primitive Ideals in Group Rings of Polycyclic Groups, Lower Frattini Series in Finitely Generated Soluble Groups, Collapsing groups and positive laws, Locally finite representations over Noetherian Hopf algebras, Solvable groups whose irreducible modules abe finite dimensional, Finite Frattini Factors in Finitely Generated Soluble Groups, Soluble Lie algebras having finite-dimensional maximal subalgebras, Embedding ℚ into a finitely presented group, On Positive Law Problems in the Class of Locally Graded Groups, Maximal subgroups of groups of intermediate growth, Modules over nilpotent groups of finite rank, A classification of the abelian minimal closed normal subgroups of locally compact second-countable groups, Group Embeddings with Algorithmic Properties, On solvable groups, all proper factor groups of which have finite ranks, Simple modules and their essential extensions for skew polynomial rings, Cayley graphs having nice enumerations, Some classes of groups with the weak minimal and maximal conditions for normal subgroups, The true prosoluble completion of a group: examples and open problems., On soluble groups with finite homomorphic images of bounded rank, Groups whose proper quotients have finite derived subgroups, On the isolated points in the space of groups., Torsion-free soluble groups, completions, and the zero divisor conjecture, Groups satisfying semigroup laws, and nilpotent-by-Burnside varieties, Nilpotent subgroups and the hypercentre of infinite soluble groups, Hypercentral extensions of Abelian groups, On the primitive representations of finitely generated metabelian groups of finite rank over a field of non-zero characteristic, On the structure of some minimax-antifinitary modules, Finitely presented wreath products and double coset decompositions., Multiplicatively collapsing and rewritable algebras, A solvable group admitting a regular splitting automorphism of prime order is nilpotent, Finite-by-nilpotent groups and a variation of the BFC-theorem, Polycyclic Frattini factors in certain finitely generated groups, On residual finiteness of monoids, their Schützenberger groups and associated actions., Groups satisfying weak minimum and maximum conditions for normal subgroups, GB-Problem in the Class of Locally Graded Groups, The twisted conjugacy problem for endomorphisms of metabelian groups., Factorizations of polycyclic groups, Products of Abelian groups, The word problem in a variety of groups containing N//2A, Bounding the order of a verbal subgroup in a residually finite group, Twisted Alexander polynomials detect fibered 3-manifolds, Nilpotency of solvable groups admitting a splitting automorphism of prime order, On nilpotent and metabelian products of groups., Polycyclic groups, finite images, and elementary equivalence, Torsion in pro-finite completions of torsion-free groups, On the Cantor-Bendixson rank of metabelian groups., Groups with boundedly many commutators of maximal order, Generic flatness for strongly Noetherian algebras, Lattice homomorphisms of non-periodic groups, Noetherian modules over nilpotent groups of finite rank, On equationally Noetherian and residually finite groups, On laws of the form \(ab\equiv ba\) equivalent to the abelian law, The twisted conjugacy problem for endomorphisms of polycyclic groups, Torsion in profinite completions, Triple factorizations by abelian groups, Subgroups of free metabelian groups., Approximation properties of nilpotent interlacings of groups., A residual property of finitely generated abelian-by-nilpotent groups, Finite by nilpotent Frattini factors in finitely generated hyper-(Abelian by finite) groups, Integral group rings of polycyclic-by-finite groups, Advances in group rings, A generalization of metahamiltonian groups, Groups whose finite quotients are supersoluble, The lower central series of a join of subnormal subgroups, On the Wielandt subgroup of infinite soluble groups, Infinite finitely generated groups in which each subgroup of the commutator subgroup is normal, Primitive ideals of group algebras of supersoluble groups, Groups rings: an annotated questionnaire, Existentially complete nilpotent groups, Almost approximability of finitely generated \(\mathfrak A,\mathfrak P\)-groups without torsion with finite \(p\)-groups, Two problems for solvable and nilpotent groups, Baer-invariants, isologism, varietal laws and homology, Residual finiteness and strict distortion of cyclic subgroups of solvable groups, Primitivity in representations of polycyclic groups, Self-similar groups of type \(FP_n\), Groups Whose Homomorphic Images Have a Transitive Normality Relation, Primitive group algebras of polycyclic groups, On Schreier varieties of groups, On direct decompositions of infinite abelian groups with operators, Locally supersolvable extensions of Abelian groups, Grothendieck's problem on profinite completions and representations of groups, A theorem on finitely generated hyperabelian groups, Filters in the lattice of quasivarieties of metabelian groups, MONOLITHIC MODULES OVER NOETHERIAN RINGS, Abelian factorizations of infinite groups, Finite approximability of metabelian groups, The subgroup lattice index problem, Groups satisfying the weak minimal condition for non-Abelian subgroups, Infinite nonabelian groups in which all infinite nonabelian subgroups are invariant, On the isomorphic imbedding of locally nilpotent groups in locally finite algebras, Centrality in finitely generated soluble groups, Finitely determined members of varieties of groups and rings, An extension of a dichotomy of P. Hall to some varieties of soluble groups, The Fitting-Gaschütz-Hall relation in certain soluble by finite groups, Approximations of Lie algebras, Solvability of the problem of occurrence in finitely generated soluble groups of matrices over the field of algebraic numbers, On some finiteness conditions for varieties of metanilpotent groups, Nilpotent approximations of metabelian groups, Properties that characterize classes of nilpotent groups, Metabelian groups with large return probability, Group-graded rings satisfying the strong rank condition, Locally (soluble-by-finite) groups with all proper non-nilpotent subgroups of finite rank, Periodic groups whose simple modules have finite central endomorphism dimension, Normal automorphisms of discrete groups, Groups that are residually finite with respect to conjugacy, Algorithmic problems for metabelian groups, Group rings of polycyclic groups, Group rings with finite endomorphism dimension
