On Burnside's problem on periodic groups
From MaRDI portal
Publication:1077534
DOI10.1007/BF01078416zbMath0595.20029MaRDI QIDQ1077534
Publication date: 1980
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05)
Related Items (only showing first 100 items - show all)
A finiteness condition on centralizers in locally finite groups ⋮ STABILIZERS OF TRANSITIVE ACTIONS ON LOCALLY FINITE GRAPHS ⋮ Maximal subgroups of nontorsion Grigorchuk–Gupta–Sidki groups ⋮ The Grigorchuk group of intermediate growth. ⋮ Unnamed Item ⋮ A Connected 3-State Reversible Mealy Automaton Cannot Generate an Infinite Burnside Group ⋮ On the growth of a Coxeter group ⋮ Ergodic decomposition of group actions on rooted trees ⋮ Clover nil restricted Lie algebras of quasi-linear growth ⋮ The true prosoluble completion of a group: examples and open problems. ⋮ Hausdorff dimension in a family of self-similar groups. ⋮ THE DENSITY OF SUBGROUP INDICES ⋮ The profinite completion of multi-EGS groups ⋮ On the lattice of subgroups of the lamplighter group ⋮ Gelfand pairs associated with the action of graph automaton groups ⋮ Nuclear dimension of simple \(\mathrm{C}^*\)-algebras ⋮ Groups acting on rooted trees and their representations on the boundary ⋮ On conjugacy of GGS-groups ⋮ Prime \(L\)-algebras and right-angled Artin groups ⋮ -ALGEBRAS OF SELF-SIMILAR ACTION OF GROUPOIDS ON ROW-FINITE DIRECTED GRAPHS ⋮ Self-similar groups and holomorphic dynamics: renormalization, integrability, and spectrum ⋮ Reidemeister classes in some weakly branch groups ⋮ Combinatorics of one-dimensional simple Toeplitz subshifts ⋮ PERMUTATION-BASED PRESENTATIONS FOR BRIN’S HIGHER-DIMENSIONAL THOMPSON GROUPS ⋮ A conjecture of Dekking on the dimensions of the lower central series factors of a certain just infinite Lie algebra ⋮ Realising residually finite groups as subgroups of branch groups ⋮ Non-elementary amenable subgroups of automata groups ⋮ Some undecidability results for asynchronous transducers and the Brin-Thompson group $2V$ ⋮ Portrait growth in contracting, regular branch groups ⋮ On the simplicity of Nekrashevych algebras of contracting self-similar groups ⋮ Two periodicity conditions for spinal groups ⋮ When amenable groups have real rank zero C∗-algebras ⋮ Independent finite automata on Cayley graphs ⋮ Asymptotic behaviors of random walks on countable groups ⋮ A Connected 3-State Reversible Mealy Automaton Cannot Generate an Infinite Burnside Group ⋮ GGS-groups over primary trees: branch structures ⋮ Invariant Means in Stability Theory ⋮ DETERMINANTS RELATED TO DIRICHLET CHARACTERS MODULO 2, 4 AND 8 OF BINOMIAL COEFFICIENTS AND THE ALGEBRA OF RECURRENCE MATRICES ⋮ Tree languages and branched groups ⋮ On representations of direct products and the bounded generation property of branch groups ⋮ Self-similar associative algebras. ⋮ On a class of poly-context-free groups generated by automata ⋮ An automaton group with \textsf{PSPACE}-complete word problem ⋮ Automaton (Semi)groups: Wang Tilings and Schreier Tries ⋮ Unnamed Item ⋮ Zappa-Szép products of semigroups and their \(C^\ast\)-algebras ⋮ Endomorphisms of regular rooted trees induced by the action of polynomials on the ring ℤd of d-adic integers ⋮ BURNSIDE AND KUROSH PROBLEMS ⋮ Invariable generation of certain groups of piecewise linear homeomorphisms of the interval ⋮ The asymptotic density of finite-order elements in virtually nilpotent groups. ⋮ On growth of generalized Grigorchuk's overgroups ⋮ ON VERBAL SUBGROUPS IN RESIDUALLY FINITE GROUPS ⋮ Relatively free semigroups of intermediate growth ⋮ THE GROUP OF AUTOMORPHISMS OF A 3-GENERATED 2-GROUP OF INTERMEDIATE GROWTH ⋮ On periodic groups having almost regular 2-elements ⋮ Amenable groups without finitely presented amenable covers ⋮ Branch groups ⋮ The group of asynchronous automata and rational homeomorphisms of the Cantor set ⋮ Asymptotic aspects of Schreier graphs and Hanoi Towers groups. ⋮ Systems of generators of automaton permutations groups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A survey on groups with some restrictions on normalizers or centralizers ⋮ The top of the lattice of normal subgroups of the Grigorchuk group ⋮ Ascending HNN extensions of residually finite groups can be non-Hopfian and can have very few finite quotients ⋮ A note on Engel elements in the first Grigorchuk group ⋮ Isometry types of profinite groups. ⋮ Growth of étale groupoids and simple algebras ⋮ On Torsion-Free Semigroups Generated by Invertible Reversible Mealy Automata ⋮ Ordering the space of finitely generated groups ⋮ Hausdorff dimension of the second Grigorchuk group ⋮ Automata groups generated by Cayley machines of groups of nilpotency class two ⋮ On the density of Cayley graphs of R.Thompson’s group F in symmetric generators ⋮ Growth of periodic Grigorchuk groups ⋮ Densely related groups ⋮ From Self-Similar Groups to Self-Similar Sets and Spectra ⋮ Extensions of amenable groups by recurrent groupoids ⋮ Multi-GGS Groups have the Congruence Subgroup Property ⋮ On Residually Finite Groups with Engel-like Conditions ⋮ A mixed identity-free elementary amenable group ⋮ Boundary dynamics for bireversible and for contracting automaton groups ⋮ Approximating the Schur multiplier of certain infinitely presented groups via nilpotent quotients ⋮ Nil Liep-algebras of slow growth ⋮ Simplicity of algebras associated to non-Hausdorff groupoids ⋮ Graph automaton groups ⋮ A constructive proof that the Hanoi towers group has non-trivial rigid kernel ⋮ A language hierarchy and kitchens-type theorem for self-similar groups ⋮ No iterated identities satisfied by all finite groups ⋮ On self-similarity of \(p\)-adic analytic pro-\(p\) groups of small dimension ⋮ Linear time algorithm for the conjugacy problem in the first Grigorchuk group ⋮ SELF-SIMILAR INVERSE SEMIGROUPS AND SMALE SPACES ⋮ GROUPS WITH INDEXED CO-WORD PROBLEM ⋮ Large scale properties for bounded automata groups. ⋮ SOLENOIDAL MAPS, AUTOMATIC SEQUENCES, VAN DER PUT SERIES, AND MEALY AUTOMATA ⋮ On the congruence subgroup property for GGS-groups ⋮ Nielsen equivalence in Gupta-Sidki groups ⋮ Ramification structures for quotients of the Grigorchuk groups ⋮ Weakly maximal subgroups in regular branch groups. ⋮ Maximal subgroups of groups of intermediate growth
Cites Work
This page was built for publication: On Burnside's problem on periodic groups