10.10 -Theorem of Lagrange, Every coset of a subgroup H of G has the same number of elements as H.

UG - Abstract Algebra - UNIT II - 10 .10 (Theorem of Lagrange)

Every coset (left or right) of a subgroup H of G of a group G has the same number of elements as H.

Let H be a subgroup of a finite group G. Then the order of H is a divisor of the order of G.

This video is based on the topic 10 .10 (Theorem of Lagrange) of Module II of the syllabus of Abstract Algebra for V Semester B. Sc. Mathematics (for affiliated colleges under Mahatma Gandhi University)

Text Book : A First Course in Abstract Algebra (Seventh Edition) by John B. Fraleigh