Review of Elementary Group Properties

Ernest Shult () and David Surowski
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Ernest Shult: Kansas State University, Department of Mathematics

Chapter Chapter 3 in Algebra, 2015, pp 73-103 from Springer

Abstract: Abstract Basic properties of groups are collected in this chapter. Here are exposed the concepts of order of a group (any cardinal number) or of a group element (finite or countable order), subgroup, coset, the three fundamental theorems of homomorphisms, semi-direct products and so forth.

Keywords: Semi-direct Product; Homomorphism; Subdirect Product; Characteristic Subgroup; Maximal Normal Subgroup (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-319-19734-0_3

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