Characterization of abelian-by-cyclic 3-rewritable groups
A. Abdollahi, A. Mohammadi Hassanabadi (2004)
Rendiconti del Seminario Matematico della Università di Padova
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A. Abdollahi, A. Mohammadi Hassanabadi (2004)
Rendiconti del Seminario Matematico della Università di Padova
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Rendiconti del Seminario Matematico della Università di Padova
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Kharazishvili, Aleksander (2015-11-18T12:34:03Z)
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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...
Mariagrazia Bianchi, Anna Gillio, Carlo Casolo (2001)
Rendiconti del Seminario Matematico della Università di Padova
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