Classification Definition and 116 Threads

I was wondering about the classification of groups with a certain number of subgroups. I (sort of mostly I think maybe) get the ideas behind classification of groups of a certain (hopefully small) order, but I came across a question about classifying all groups with exactly 4 subgroups, and I...

This question may be best posted here. What is the most accepted classification of the different races of the entire world? I am after the classification according to physical features only.

If we have a function f(x,y) for which we wish to find the stationary points, then there is one set of rules for classifying those points. Let there be an extremum of f(x,y) at (x,y) = (a,b), and D = fxx(a,b)*fyy(a,b) - {fxy(a,b)}², then 1) D > 0 and fxx > 0 => min 2) D > 0 and fxx < 0 =>...

Does anybody can propose a good book on classification of the complex simple Lie algebras. I know that they fall into several simple (An, Bn, Cn, Dn) and exceptional groups (E, F, G), but I find only a pieces of information about these algebras. Also, they could be represented by...

Kindly give me a link to some place I can study about Atomic Structure and Periodicity/Classification for IIT-JEE

Homework Statement Classify the groups of order 12. Homework Equations None. The Attempt at a Solution The professor has worked this out up to a point. He proved a corollary that states: "Let G be a group of order 12 whose 3-Sylow subgroups are not normal. Then G is isomorphic...

Homework Statement If you are presented with a PDE with a d(u)/dt in it, how would you classify it? There is not t dependence in the classification section of PDEs http://en.wikipedia.org/wiki/Partial_differential_equation

Hello, I'm taking a seminar in group theory, and the main focus of the course is the classification of low-order groups (by classification, I mean finding all of the groups of a given order). I've got the hang of classification of (some) groups G that are products of powers of 2 distinct...

Anyone know the detail about it? how we define the class of corrosion?

http://www.fas.org/blog/secrecy/ What kind of hold does this man have on the current administration that he is allowed to carry out such outrageous acts. The man can classify his own actions and conduct at will. Yet he does not report that he has classified anything.

I have been wondering about climate classifications. Based on average annual temperature and precip, a large chunk of the southeast/southcentral United States is lumped into the Humid Subtropical climate zone. But that seems misleading to people with agriculture or gardening interests, since...

Have I correctly classified these sets of numbers? I am trying to diagram algebraic, transcendental, irrational...etc, numbers. Please see the attached picture. Thanks

Hi, Is there a theorem which classify the diagonalizable matrices?? If so, could someone please kindly tell me which journal is it. Thanks

From the table of particles in 'The Particle Explosion' I observe that: Leptons and quarks have spin 1/2. Bosons have spin 1. Mesons, have zero spin; except for quark/antiquark pairs found by electronic detectors, that have spin 1. Baryons of with more than one type of quark have spin 1/2...

How do i show that a group of symmetries of a regular quindecagon has order |G| = 30 ? And how do i describe the elements of G and classify them by their order? Thanks

Just a simple quickie, why are stars classified using the letters O, B, A, F, G, K and M? Is there any significance in the letters?