Abstract
In this introductory chapter, we review the elementary notions of group theory and develop many of the tools that we will use in the remaining chapters. Section 1 consists primarily of those facts with which we assume the reader is familiar from some prior study of group theory; consequently, most proofs in this section have been omitted. In Section 2 we introduce some important concepts, such as automorphism groups and semidirect products, which are not necessarily covered in a first course on group theory. Section 3 treats the theory of group actions; here we present both elementary applications and results of a more technical nature which will be needed in later chapters.
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© 1995 Springer Science+Business Media New York
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Alperin, J.L., Bell, R.B. (1995). Rudiments of Group Theory. In: Groups and Representations. Graduate Texts in Mathematics, vol 162. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0799-3_1
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DOI: https://doi.org/10.1007/978-1-4612-0799-3_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-94526-2
Online ISBN: 978-1-4612-0799-3
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