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Abstract

This chapter provides an introduction to group theory, the chapter begins with basic definitions about groups, then continues to introduce subgroups and its characteristics, followed by homomorphisms, the chapter concludes with various theorems about isomorphisms, along with the concepts, various examples are provided to facilitate the understanding of the theory. This material ca ben found in any introductory book on abstract algebra (also called modern algebra).

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Correspondence to Rafael Martínez-Guerra .

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Martínez-Guerra, R., Martínez-Fuentes, O., Montesinos-García, J.J. (2019). Group Theory. In: Algebraic and Differential Methods for Nonlinear Control Theory. Mathematical and Analytical Techniques with Applications to Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-12025-2_2

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  • DOI: https://doi.org/10.1007/978-3-030-12025-2_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-12024-5

  • Online ISBN: 978-3-030-12025-2

  • eBook Packages: EngineeringEngineering (R0)

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