Improved bounds on the length of maximal abelian square-free words.
Bullock, Evan M. (2004)
The Electronic Journal of Combinatorics [electronic only]
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Displaying similar documents to “A one-sided Zimin construction.”
Improved bounds on the length of maximal abelian square-free words.
The number of ternary words avoiding abelian cubes grows exponentially.
Aberkane, Ali, Currie, James D., Rampersad, Narad (2004)
Journal of Integer Sequences [electronic only]
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Unextendible sequences in finite abelian groups.
Zhuang, Jujuan (2008)
The Electronic Journal of Combinatorics [electronic only]
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On subsequence sums of a zero-sum free sequence.
Sun, Fang (2007)
The Electronic Journal of Combinatorics [electronic only]
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On abelian versions of critical factorization theorem
Sergey Avgustinovich, Juhani Karhumäki, Svetlana Puzynina (2012)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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In the paper we study abelian versions of the critical factorization theorem. We investigate both similarities and differences between the abelian powers and the usual powers. The results we obtained show that the constraints for abelian powers implying periodicity should be quite strong, but still natural analogies exist.
Inverse zero-sum problems in finite Abelian p-groups
Benjamin Girard (2010)
Colloquium Mathematicae
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We study the minimal number of elements of maximal order occurring in a zero-sumfree sequence over a finite Abelian p-group. For this purpose, and in the general context of finite Abelian groups, we introduce a new number, for which lower and upper bounds are proved in the case of finite Abelian p-groups. Among other consequences, our method implies that, if we denote by exp(G) the exponent of the finite Abelian p-group G considered, every zero-sumfree sequence S with maximal possible...
Some conditions implying that an infinite group is abelian
Luise-Charlotte Kappe, M. J. Tomkinson (1998)
Rendiconti del Seminario Matematico della Università di Padova
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Sum-dominant sets and restricted-sum-dominant sets in finite abelian groups
David B. Penman, Matthew D. Wells (2014)
Acta Arithmetica
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We call a subset A of an abelian group G sum-dominant when |A+A| > |A-A|. If |A⨣A| > |A-A|, where A⨣A comprises the sums of distinct elements of A, we say A is restricted-sum-dominant. In this paper we classify the finite abelian groups according to whether or not they contain sum-dominant sets (respectively restricted-sum-dominant sets). We also consider how much larger the sumset can be than the difference set in this context. Finally, generalising work of Zhao, we provide asymptotic...
Term functions on non-Abelian groups of order
Hans Lausch (1982)
Archivum Mathematicum
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On some model theoretic problems concerning certain extensions of abelian groups by groups of finite exponent
Carlo Toffalori (2000)
Rendiconti del Seminario Matematico della Università di Padova
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Partially abelian squarefree words
Robert Cori, Maria Rosaria Formisano (1990)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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