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Nabajyoti Bhattacharjee

    Kneser's Theorem
    Dynamics On Topological Group
    • Dynamics On Topological Group

      A Brief Study Of Dynamical Properties On Induced System

      • 72 Seiten
      • 3 Lesestunden

      Focusing on advanced mathematical concepts, this book explores Induced Hyperspace Dynamical Systems, highlighting their applications in various fields. It provides a concise survey of Minimal sets and Transitivity, delving into their implications within topological groups and induced hyperspaces. The text uncovers intriguing properties, such as hyperspace functioning as a quotient group and the length of orbit segments, contributing to ongoing research in this dynamic area of mathematics.

      Dynamics On Topological Group
    • The intension of this book is to present two different proofs of Kneser's Theorem by H.B. Mann and Y.O. Hamidoune. This book provides a fair introduction to both addition theorems and isoperimetric methods on the basis of which they developed two beautiful proof of Kneser's Theorem. Chapters are divided in such a way that readers find no difficulties as all the preliminaries required are covered nicely. Further Generalization of Kneser's Theorem, Application of Kneser's Theorem and Kneser's theorem on non-Abelian groups are also discussed in the last chapter.

      Kneser's Theorem