Question

State and prove Sylow’s Theorem

Answer 1

Answer:

Lagrange's theorem states that for any finite group G the order (number of elements) of every subgroup of G divides the order of G. ... Moreover, every subgroup of order pn is a Sylow p-subgroup of G, and the Sylow p-subgroups of a group (for a given prime p) are conjugate to each other.