Abstract Algebra. Corollaries of Lagrange's Theorem скачать в хорошем качестве

Abstract Algebra. Corollaries of Lagrange's Theorem

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...)