What is the Quotient Group A/B?

  • Thread starter Thread starter pellman
  • Start date Start date
  • Tags Tags
    Groups Mean
AI Thread Summary
The quotient group A/B is defined when A is a group and B is a normal subgroup of A. This mathematical concept allows for the creation of a new group from the elements of A, partitioned by the subgroup B. The discussion highlights the importance of B being a normal subgroup for the quotient group to be well-defined. Additionally, there is interest in resources that categorize mathematical concepts by notation for easier lookup. Overall, the quotient group A/B is a key concept in group theory.
pellman
Messages
683
Reaction score
6
If A is a group and B is a subgroup of A, what is A/B? I don't need a definition really, just the term or name for the quantity A/B. I can look it up myself from there.

Also, if anyone has any suggestions or links that make it easy to look up math concepts by notation rather than looking up the word for it, I would be interested.
 
Mathematics news on Phys.org
Note that B must be a normal subgroup of A, not any subgroup.
 

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Thread 'Non-orthogonal bases'

Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
View full post »

Similar threads

MHB Find the best function grouping with an iterative method
Replies
3
Views
2K
I Meaning of "passage to the quotient"?
Replies
3
Views
502
What is the Definition and Explanation of a Quotient Group?
Replies
1
Views
2K
Quotient groups of permutations
Replies
3
Views
3K
The mathematical definition of "wave"?
2
Replies
61
Views
11K
A What is geometric group theory and how does it relate to different geometries?
Replies
12
Views
2K
B Imaginary Pythagorus
Replies
12
Views
243
I Differences between left vs right actions in some group theory questions
Replies
1
Views
132
Why Denote Group Operation with Multiplication?
Replies
7
Views
3K
A Classification of reductive groups via root datum
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top