answersLogoWhite

0

AllQ&AStudy Guides
Best answer

The special linear group, SL(n,R), is a normal subgroup of the general linear subgroup GL(n,R).

Proof: SL(n,R) is the kernel of the determinant function, which is a group homomorphism. The kernel of a group homomorphism is always a normal subgroup.

This answer is:
Related answers

The special linear group, SL(n,R), is a normal subgroup of the general linear subgroup GL(n,R).

Proof: SL(n,R) is the kernel of the determinant function, which is a group homomorphism. The kernel of a group homomorphism is always a normal subgroup.

View page

The subgroup for class is Order.

View page

Yes, every subgroup of a cyclic group is cyclic because every subgroup is a group.

View page

The properties of a subgroup would include the identity of the subgroup being the identity of the group and the inverse of an element of the subgroup would be the same in the group. The intersection of two subgroups would be a separate group in the system.

View page

Species is the lowest subgroup for classifying organisms.

View page
Featured study guide

Biology

12 cards

Which kingdom do single-celled organisms that do not have a nucleus belong in

What is the highest subgroup for classifying organisms

Which of these occurs when an organism responds to external or internal stimuli

Which type of organism is commonly known as pond scum

➡️
See all cards
4.28
25 Reviews
More study guides
2.0
2 Reviews

1.5
2 Reviews
Search results