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On Sumset Problems and Their Various Types

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Algebra, Analysis, and Associated Topics

Part of the book series: Trends in Mathematics ((TM))

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Abstract

The objective of this chapter is to summarize all the known results about the direct and inverse problems for the cardinality of different types of sumsets. We also present an extensive survey on the development in the theory of sumsets in different groups and pose some problems and further research directions by presenting several conjectures proposed by various authors.

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Authors and Affiliations

  1. Akal University, Talwandi Sabo, India

    Ramandeep Kaur & Sandeep Singh

Authors
  1. Ramandeep Kaur
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  2. Sandeep Singh
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Correspondence to Sandeep Singh .

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Editors and Affiliations

  1. Department of Mathematics, Akal University, Talwandi Sabo, Punjab, India

    Sandeep Singh

  2. Department of Mathematics, Pamukkale University, Denizli, Turkey

    Mehmet Ali Sarigöl

  3. Galgotias University, Greater Noida, Uttar Pradesh, India

    Alka Munjal

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Kaur, R., Singh, S. (2022). On Sumset Problems and Their Various Types. In: Singh, S., Sarigöl, M.A., Munjal, A. (eds) Algebra, Analysis, and Associated Topics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-19082-7_10

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