Abstract Algebra. Corollaries of Lagrange's Theorem
Автор: Henry Adams
Загружено: 2020-04-02
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Title: Abstract Algebra. Corollaries of Lagrange's Theorem
Abstract: We describe several important corollaries of Lagrange's Theorem, which says that the size of a finite group is always divisible by the size of a subgroup. We use this to show that the order of any element in a group divides evenly into the order of the group, and that any group of prime size is a cyclic group. A further corollary is Fermat's Little Theorem.
This video accompanies pages 63-64 of the class notes (https://www.math.colostate.edu/~adams...) for an "Introduction to Abstract Algebra" class (https://www.math.colostate.edu/~adams...)
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