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Abelian Primitive Words [PDF]

open access: yesInternational Journal of Foundations of Computer Science, 2010
We investigate Abelian primitive words, which are words that are not Abelian powers. We show that unlike classical primitive words, the set of Abelian primitive words is not context-free.
Domaratzki, Michael, Rampersad, Narad
core   +5 more sources

Primitive Words, Free Factors and Measure Preservation [PDF]

open access: yesIsrael Journal of Mathematics, 2012
Let F_k be the free group on k generators. A word w \in F_k is called primitive if it belongs to some basis of F_k. We investigate two criteria for primitivity, and consider more generally, subgroups of F_k which are free factors.
A. Miasnikov   +20 more
core   +2 more sources

Measure Preserving Words are Primitive

open access: yesJournal of the American Mathematical Society, 2014
We establish new characterizations of primitive elements and free factors in free groups, which are based on the distributions they induce on finite groups.
Parzanchevski, Ori, Puder, Doron
core   +3 more sources

Dyck Words and Multi-Quark Primitive Amplitudes [PDF]

open access: yesPhysical Review D, 2013
I study group theory (Kleiss-Kuijf) relations between purely multi-quark primitive amplitudes at tree level, and prove that they reduce the number of independent primitives to (n-2)!/(n/2)!, where n is the number of quarks plus antiquarks, in the case ...
Melia, Tom
core   +2 more sources

Generalized de Bruijn words for Primitive words and Powers

open access: yesDiscrete Mathematics, 2015
We show that for every $n \geq 1$ and over any finite alphabet, there is a word whose circular factors of length $n$ have a one-to-one correspondence with the set of primitive words.
Au, Yu Hin
core   +3 more sources

Properties of Pseudo-Primitive Words and their Applications [PDF]

open access: yesInternational Journal of Foundations of Computer Science, 2010
A pseudo-primitive word with respect to an antimorphic involution \theta is a word which cannot be written as a catenation of occurrences of a strictly shorter word t and \theta(t).
Kari, Lila   +2 more
core   +4 more sources

On primitive words with non-primitive product [PDF]

open access: yesRAIRO - Theoretical Informatics and Applications, 2022
Let𝒜be an alphabet of sizen≥ 2. Our goal in this paper is to give a complete description of primitive wordsp≠qover𝒜such thatpqis non-primitive. As an application, we will count the cardinality of the setℰ(l,𝒜) of all couples (p,q) of distinct primitive words such that |p| = |q| =landpqis non-primitive, wherelis a positive integer.
Othman Echi   +2 more
openaire   +2 more sources

گونه شناسی مفردات پژوهی در قرآن از منظر روایات تفسیری اهل بیت(ع) [PDF]

open access: yesپژوهش نامه معارف قرآنی, 2021
The study of the words of the Qur'an is one of the basic pillars of understanding the concepts and purposes of the Qur'an, which has been studied from different perspectives and dimensions and at different levels.
hashemi seyyed ghadir   +2 more
doaj   +1 more source

Primitive sets of words

open access: yesTheoretical Computer Science, 2021
Submitted.
Castiglione, G, Fici, G, Restivo, A
openaire   +3 more sources

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