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Groups

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Part of the Graduate Texts in Mathematics book series (GTM,volume 242)

Group theory arose from the study of polynomial equations. The solvability of an equation is determined by a group of permutations of its roots; before Abel [1824] and Galois [1830] mastered this relationship, it led Lagrange [1770] and Cauchy [1812] to investigate permutations and prove forerunners of the theorems that bear their names.

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  • Normal Subgroup
  • Cyclic Group
  • Binary Operation
  • Identity Element
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(2007). Groups. In: Abstract Algebra. Graduate Texts in Mathematics, vol 242. Springer, New York, NY. https://doi.org/10.1007/978-0-387-71568-1_1

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