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The main purpose of this chapter aims to provide an overview of all the established findings on sumset theory in various groups and to present an extensive survey on direct and inverse problems in the theory of non-commutative groups. We also present some problems and further research directions by purposing various conjectures proposed by different authors.

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Direct and Inverse Problems in Sumsets and Various Groups

  • 会议论文

  • 发表日期：

    2026年

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  • Sandeep Singh,
  • Ramandeep Kaur,
  • Hemant Kalra

摘要

The main purpose of this chapter aims to provide an overview of all the established findings on sumset theory in various groups and to present an extensive survey on direct and inverse problems in the theory of non-commutative groups. We also present some problems and further research directions by purposing various conjectures proposed by different authors.