MHB Use a subgroup lattice to compute a normalizer

  • Thread starter Thread starter i_a_n
  • Start date Start date
  • Tags Tags
    Lattice Subgroup
Physics news on Phys.org
I recommend that in addition to the link (which is beneficial to our helpers in avoiding duplication of effort), taking the time to post the question here as well as the major points you have been given at the other site. At least, that's how I would handle it.
 

Thread 'The colorful world of ##2\times 2## complex matrices'

The world of 2\times 2 complex matrices is very colorful. They form a Banach-algebra, they act on spinors, they contain the quaternions, SU(2), su(2), SL(2,\mathbb C), sl(2,\mathbb C). Furthermore, with the determinant as Euclidean or pseudo-Euclidean norm, isu(2) is a 3-dimensional Euclidean space, \mathbb RI\oplus isu(2) is a Minkowski space with signature (1,3), i\mathbb RI\oplus su(2) is a Minkowski space with signature (3,1), SU(2) is the double cover of SO(3), sl(2,\mathbb C) is the...
View full post »

Similar threads

MHB Can You Prove These Properties of Normal Subgroups in Group Theory?
Replies
2
Views
2K
I Is G simple?Is G simple? A different approach using Sylow theorems
Replies
5
Views
2K
Software for drawing group lattice diagrams?
Replies
5
Views
3K
Question about normal subgroups/Lattice Isomorphism Theorem
Replies
1
Views
2K
MHB Proof: Every Subgroup of Cyclic $H$ is Normal in $G$
Replies
12
Views
4K
I Differences between left vs right actions in some group theory questions
Replies
1
Views
197
MHB Why Can't a Proper Normal Subgroup Contain a Sylow Normalizer in a Group?
Replies
1
Views
1K
I What is the meaning of N(H) in subgroup notation?
Replies
1
Views
1K
MHB How can we find all the normal subgroups?
Replies
11
Views
3K
MHB Unlock Role of Correspondence Thm for Groups in Analysing Composition Series
Replies
4
Views
2K

Hot Threads

Recent Insights

Back
Top