# Multiply a Group - possible?

physics1000
TL;DR Summary
Okay, what I mean:
Lets say I have the group ##\mathbb{N}##
If I have a vector product of A x B which has a, 3a
Can I write Dom(R) as ##\mathbb{N}## and Range(R) as ##\mathbb{N} * 3##?
Sorry if it didnt belong.
its not at calculus or linear algebra.

## Answers and Replies

Homework Helper
Gold Member
2022 Award
##\mathbb N## is not a group. Do you mean set?

Use double dollars or double hashes to fix your Latex.

Mentor
2022 Award
This question is a mess. ##\mathbb{N}## is no group, to begin with. Then your product ##A\times B## doesn't look like a vector product. It's probably a direct product.

If you have groups, you can build semidirect, or direct products. Also, tensor products are possible in certain cases.

Mentor
Are you asking if you can write ##\{3a, a \in \mathbb{N}\}## as ##\mathbb{N}\cdot 3##? It looks awkward but its possible to understand what you mean.

Mentor
Use double dollars or double hashes to fix your Latex.
Fixed...

jim mcnamara