sorry,
it is all one problem
Prove that a nonabelian group of order 10 must have an element of order 2. What if the order of every element is 5? Prove there are 5 elements of order 2.
I am having trouble understanding Lag. THM.
Thanks again for your help
Homework Statement
Prove that a non-abelian group of order 10 must have an element of order 2.
What if the order of every element is 5?
Prove there are 5 elements of order 2.
I am having trouble with this proof:
Let H and K be subspaces of the vector space V. The intersection of H and K, written as
H \cap K, the set of v in V that belong to both H and K. Show that
H\cap K is a subspace of V