Titlebook: Abstract Algebra; An Introductory Cour Gregory T. Lee Textbook 2018 Springer International Publishing AG, part of Springer Nature 2018 abst

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Delphine Letort,Abderrahmene BourenaneIn this chapter, we begin with a discussion of mathematical induction. Next, we examine a number of properties of the integers, with an emphasis on divisibility and prime factorization. We conclude by introducing modular arithmetic.

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The Historical Character of Art,We can now determine the structure of finite abelian groups. In particular, every such group is isomorphic to a direct product of cyclic groups, each having prime power order. The proof of this result is our main goal in the present chapter.

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Gregory T. LeeProvides a gentle, yet thorough, introduction to abstract algebra.Includes careful proofs of theorems and numerous worked examples.Written in an informal, readable style

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,Florida’s Creative Class Thesis,impose four basic rules, and see what we can deduce. And yet, the possibilities are endless. Groups show up everywhere, and not just in mathematics. Indeed, it would be difficult to study physics or chemistry without an understanding of group theory. The solution to the famous Rubik’s cube is also a

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