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This document provides an introduction to group theory concepts. It begins with basic definitions of semigroups, monoids, and groups. Examples of groups are given such as integers, permutations, and general linear groups. Theorems establish properties of groups including uniqueness of identities, inverses, and cancellation laws. Homomorphisms and subgroups are introduced. Cyclic groups are discussed in detail, including properties of generators and orders of elements. Dihedral groups are defined as an examp

Author

23Square

Language

EN