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Mathematics LibreTexts

Chapter 2: Groups

  • Page ID
    10715
  • This page is a draft and is under active development. 

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    Groups are a fundamental concept in abstract algebra. Understanding their definitions and properties and studying examples is important in order to gain a comprehensive understanding of algebraic structures.

    Learning Objectives
    •  Define and understand the basic concepts of groups and properties.
    • Define and distinguish between various types of groups, such as finite and infinite groups, abelian and non-abelian groups, and cyclic and non-cyclic groups..
    • Determine whether a given subset of a group is a subgroup.
    • Prove basic results involving various types of groups.
    • Solve basic problems involving various groups and its subgroups.

     


    This page titled Chapter 2: Groups is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Pamini Thangarajah.

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