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Titlebook: A First Course in Group Theory; Bijan Davvaz Textbook 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to Spr

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https://doi.org/10.1007/978-3-540-69334-5n this chapter, we introduce the concept of normal subgroups and we form a group of cosets, say factor group. A factor group is a way of creating a group from another group. This new group often retains some of the properties of the original group.
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https://doi.org/10.1007/978-3-540-69334-5In this chapter, we are interested in the symmetric properties of plane figures. By a symmetry of a plane figure we mean a motion of the plane that moves the figure so that it falls back on itself.
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https://doi.org/10.1007/978-3-540-69334-5Among the most important examples of groups are groups of matrices. In this chapter, matrix groups are defined and a number of standard examples are discussed.
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