Question

If any group is a manifold what is the dimension of that group?

(a) same as manifold

(b) same as vector space

(c) infinite

(d) finite

This question was posed to me during a job interview.

I want to ask this question from Graph’s Matrices topic in portion Graphs of Discrete Mathematics

Answer 1

The correct option is (a) same as manifold

Easy explanation: If a group is a (topological) manifold, then the dimension of a group will be the dimension of this manifold.  A linear representation F of a group G1 on a vector space V’ has the dimension of V’.