Free differential calculus. IV: The quotient groups of the lower central series

From MaRDI portal
Publication:5920757

DOI10.2307/1970044zbMath0142.22304OpenAlexW2313966519WikidataQ56030656 ScholiaQ56030656MaRDI QIDQ5920757

Ralph H. Fox, Kuo-Tsai Chen, Roger C. Lyndon

Publication date: 1958

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1970044




Related Items (99)

Parallel RAM algorithms for factorizing wordsThe mechanics of shuffle products and their siblingsExtended suffix array construction using Lyndon factorsAn efficient shift rule for the prefer-max de Bruijn sequenceOn the Lyndon dynamical systemOn a formal product over the conjugate classes in a free groupComputing minimal and maximal suffixes of a substringFactorizing strings into repetitionsCyclic sieving, necklaces, and branching rules related to Thrall's problemLyndon array construction during Burrows-Wheeler inversionConjugacy of morphisms and Lyndon decomposition of standard Sturmian wordsA characterization of binary morphisms generating Lyndon infinite wordsSjogren's theorem on dimension subgroupsDual bases for noncommutative symmetric and quasi-symmetric functions via monoidal factorizationViennot factorization of infinite wordsOn the approximation ratio of LZ-end to LZ77\(V\)-order: new combinatorial properties \& a simple comparison algorithmSymmetric functions, noncommutative symmetric functions and quasisymmetric functions. II.Pattern Hopf algebrasZIV-LEMPEL AND CROCHEMORE FACTORIZATIONS OF THE GENERALIZED PERIOD-DOUBLING WORDCan formal languages help pangenomics to represent and analyze multiple genomes?Inferring strings from Lyndon factorizationThe origins of combinatorics on wordsGénération d'une section des classes de conjugaison et arbre des mots de Lyndon de longueur bornée. (Generation of a section of conjugation classes and trees of Lyndon words of bounded length)On the self-intersections of curves deep in the lower central series of a surface groupCocycles of nilpotent quotients of free groupsThe cohomology of canonical quotients of free groups and Lyndon wordsPolytopes associated with symmetry handlingLyndon words and Fibonacci numbersA new class of string transformations for compressed text indexingUnnamed ItemSuffix array and Lyndon factorization of a textCentralizers in partially commutative Lie algebrasReprint of: ``Generalized Lyndon factorizations of infinite wordsLyndon partial words and arrays with applicationsString rearrangement inequalities and a total order between primitive wordsLie structure of the Heisenberg-Weyl algebraComputing longest Lyndon subsequences and longest common Lyndon subsequencesString Attractors of Fixed Points of k-Bonacci-Like MorphismsFast parallel Lyndon factorization with applicationsThe “Runs” TheoremReconstructing a string from its Lyndon arraysNumeric Lyndon-based feature embedding of sequencing reads for machine learning approachesBraided shuffle algebras and Lyndon wordsQuotient Hopf algebras of the free bialgebra with PBW bases and GK-dimensionsConstructing and indexing the bijective and extended Burrows-Wheeler transformSpaces of orders and their Turing degree spectraON THE STRUCTURE OF FREE DUAL LEIBNIZ ALGEBRASImplementing the Baumslag-Cannonito-Miller polycyclic quotient algorithmDynamic and internal longest common substringA bijective variant of the Burrows-Wheeler transform using \(V\)-orderLyndon words, permutations and trees.Lyndon factorization of the Prouhet words.The Ideal Approach to Computing Closed Subsets in Well-Quasi-orderingsSome algorithmic problems for Poisson algebrasTribute: The influence of Imre Simon's work in the theory of automata, languages and semigroupsFix-Mahonian calculus. III: a quadruple distributionThe action of Young subgroups on the partition complexBinary block order Rouen transformFaster Lyndon factorization algorithms for SLP and LZ78 compressed textOptimal parallel detection of squares in stringsBases, filtrations and module decompositions of free Lie algebrasIncluding topology change in loop quantum gravity with topspin network formalism with application to homogeneous and isotropic cosmologyOn the longest common prefix of suffixes in an inverse Lyndon factorization and other propertiesThe decrease value theorem with an application to permutation statisticsExplicit polynomial generators for the ring of quasisymmetric functions over the integers.Efficient CRCW-PRAM algorithms for universal substring searchingEnumeration and generating functions of Rota-Baxter words.Sublinear time algorithms in the theory of groups and semigroups.Homology, Massey products and maps between groupsVerifying nilpotenceThe algebra of quasi-symmetric functions is free over the integersInverse Lyndon words and inverse Lyndon factorizations of wordsDimension and lower central subgroupsPeriodes et repetitions des mots du monoide libreRemarks on characters of discrete nilpotent groupsParallelism on Lie groups and Fox’s free differential calculusA decomposition of Solomon's descent algebraOn the size of overlapping Lempel-Ziv and Lyndon factorizationsIndexing the bijective BWTCan we replace reads by numeric signatures? Lyndon fingerprints as representations of sequencing reads for machine learningEfficient Ranking of Lyndon Words and Decoding Lexicographically Minimal de Bruijn SequenceOn mod 3 triple Milnor invariants and triple cubic residue symbols in the Eisenstein number fieldFluctuation and periodicityNyldon wordsMilnor's link invariants attached to certain Galois groups over \(\mathbb Q\)Lyndon-like and V-order factorizations of stringsGröbner-Shirshov bases for associative algebras with multiple operators and free Rota-Baxter algebras.Signed words and permutations. V: A sextuple distributionChen-Fox-Lyndon factorization for words over partially ordered setsOn the size of the smallest alphabet for Lyndon treesAnti-commutative Gröbner-Shirshov basis of a free Lie algebra.Lyndon words and singular factors of sturmian wordsGrowth of structure constants of free Lie algebras relative to Hall basesAn application of the matrix representation of transductionsNon-tame automorphisms of extensions of periodic groupsAlmost linear time computation of maximal repetitions in run length encoded stringsLyndon words and shuffle algebras for generating the coloured multiple zeta values relations tablesLongest Lyndon Substring After Edit




This page was built for publication: Free differential calculus. IV: The quotient groups of the lower central series