Theorem of Lagrange Flashcards
1
Q
Every subgroup of every group has left cosets.
A
True
2
Q
The number of left cosets of a subgroup of a finite group divides the order of the group.
A
True
3
Q
Every group of prime order is abelian.
A
True
4
Q
One cannot have left cosets of a finite subgroup of an infinite group.
A
False
5
Q
A subgroup of a group is a left coset of itself.
A
True
6
Q
Only subgroups of finite groups can have left cosets.
A
False
7
Q
An is of index 2 in Sn for n>1
A
True
