Algebra

In mathematics, the modular group is the projective special linear group PSL ⁡ ( 2 , Z ) {-displaystyle -operatorname {PSL} (2,-mathbb {Z} )} {-displaystyle ... Definition · Number-theoretic properties · Group-theoretic properties

This article is about a particular group, ie, a group unique upto isomorphism. View specific information (such as linear representation theory, subgroup ... 1Definition · 1.1Definition by presentation · 2Arithmetic functions · 3Group p

We will give two proofs that G = SL2(Z), one algebraic and the other geometric. For the algebraic proof, we start by writing down the effect of S and Tn on a ...

Definition (Group Action). A group action of G on a set S is a map G × S -→ S which satisfies the following axioms: a. For any s ∈ S, ...

I've just left an exam of algebraic structures, and one of the questions asked to compute the order of SL2(Z/5Z) (the 2x2 matrices with ...

The reason that there are uncountably many irreducible representations is not so bad, and gets at an important point: You shouldn't think of ...

The special linear group in dimension 2 over the integers, SL 2 ( Z ) SL_2(-mathbb{Z}) , sometimes called the modular group (cf. Stein 2007 Def. 1.1)

The modular group is the subgroup SL(2, Z) of the matrix group SL(2, R) consisting of matrices with integer entries and determinant 1. There is an important ...

SL2(Z) 真的作用在CP1 空間上。這對我來說確實有道理，而且它確實清楚了為什麼我們關心(az+b)/(cz+d) 形式的變換（它的動機對我來說是個謎，持續了很長時間）， ...

令c = -y, d = x，矩陣((a, b), (c, d)) 就會屬於SL(2, Z)。 也可以選擇（如果因為某些原因你的列表需要這樣）用以下方法偏移任何解：如果(x,y) 是ax ...