I Is Group Multiplication Possible in Non-Mathematical Topics?

  • I
  • Thread starter Thread starter physics1000
  • Start date Start date
  • Tags Tags
    Group
AI Thread Summary
The discussion clarifies that the set of natural numbers, denoted as ##\mathbb{N}##, is not a group, prompting questions about the nature of group multiplication in non-mathematical contexts. Participants emphasize the importance of proper notation, suggesting the use of double dollars or hashes for LaTeX formatting. They mention that while groups can form direct or semidirect products, the initial question about expressing a set like ##\{3a, a \in \mathbb{N}\}## as ##\mathbb{N}\cdot 3## is unconventional but understandable. The conversation concludes with an acknowledgment of the need for clearer communication and notation in mathematical discussions. Proper formatting and clarity are essential for effective discourse in mathematical topics.
physics1000
Messages
104
Reaction score
4
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.
 
Mathematics news on Phys.org
##\mathbb N## is not a group. Do you mean set?

Use double dollars or double hashes to fix your Latex.
 
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.
 
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.
 
PeroK said:
Use double dollars or double hashes to fix your Latex.
Fixed...
 
  • Like
Likes jim mcnamara
You can describe the output as ##\{(a,3a)\}##.
 
Thanks guys for the answers.
Sorry for my bad latex... ( and bad english )
 

Similar threads

Back
Top