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Communications in Algebra, 2024, 2023 A word $w$ in a free group is {\em achiral} if for every group $G,$ $G_w=G_{w^{-1}},$ where $G_w$ is the image of the word map $w$ on $G.$ We will give few classes of examples of achiral words. Cocke and Ho asked whether Engel words are achiral or not. We will prove that it is enough to apply Whitehead's algorithm to check the same.
arxiv +1 more source
Random Operator Approach for Word Enumeration in Braid Groups [PDF]
, 1997 We investigate analytically the problem of enumeration of nonequivalent primitive words in the braid group B_n for n >> 1 by analysing the random word statistics and the target space on the basis of the locally free group approximation.
Alain Comtet +35 more
core +3 more sources
CLADAG 2021 BOOK OF ABSTRACTS AND SHORT PAPERS [PDF]
, 2021 The book collects the short papers presented at the 13th Scientific Meeting of the Classification and Data Analysis Group (CLADAG) of the Italian Statistical Society (SIS). The meeting has been organized by the Department of Statistics, Computer Science and Applications of the University of Florence, under the auspices of the Italian Statistical ...
Leonardo Egidi +3 more
openaire +48 more sources
Real Computational Universality: The Word Problem for a class of groups with infinite presentation [PDF]
, 2006 The word problem for discrete groups is well-known to be undecidable by a Turing Machine; more precisely, it is reducible both to and from and thus equivalent to the discrete Halting Problem.
Meer, Klaus, Ziegler, Martin
core +4 more sources
On Schubert calculus in elliptic cohomology [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 An important combinatorial result in equivariant cohomology and $K$-theory Schubert calculus is represented by the formulas of Billey and Graham-Willems for the localization of Schubert classes at torus fixed points.
Cristian Lenart, Kirill Zainoulline
doaj +1 more source
Pragmatically Framed Cross-Situational Noun Learning Using Computational Reinforcement Models
Frontiers in Psychology, 2018 Cross-situational learning and social pragmatic theories are prominent mechanisms for learning word meanings (i.e., word-object pairs). In this paper, the role of reinforcement is investigated for early word-learning by an artificial agent.
Shamima Najnin +2 more
doaj +1 more source
Combinatorial conditionality of culture-specific collocations [PDF]
SHS Web of Conferences, 2019 Combinatorial lexicology as a section of lexicology deals with the theory of syntagms, valency, collocability, the relation of word semantics and collocability, the relation of syntagmatics of a language sign and the language system, functions of ...
Arkhipova Elena, Vlavatskaya Marina
doaj +1 more source
Generic-case complexity, decision problems in group theory and random walks [PDF]
, 2002 We give a precise definition of ``generic-case complexity'' and show that for a very large class of finitely generated groups the classical decision problems of group theory - the word, conjugacy and membership problems - all have linear-time generic ...
Kapovich, Ilya +3 more
core +6 more sources
Geometric group theory and arithmetic diameter [PDF]
, 2011 Let X be a group with identity e, let A be an infinite set of generators for X, and let (X,d_A) be the metric space with the word metric d_A induced by A.
M. Nathanson
semanticscholar +1 more source
Die benutting van bestuurstalent met verwysing na die invloed van leierskapstyl en tydspan
SA Journal of Industrial Psychology, 1975 A field and Laboratory study were conducted to determine the relationship between Leadership style, time-span of discretion and group performance.
J. C. D. Augustyn
doaj +1 more source