Bulk irreducibles of the modular group
نویسندگان
چکیده
منابع مشابه
Roots and Irreducibles
This handout discusses relationships between roots of irreducible polynomials and field extensions. Throughout, the letters K, L, and F are fields and Fp = Z/(p) is the field of p elements. When f(X) ∈ K[X], we will say f(X) is a polynomial “over” K. Sections 2 and 3 describe some general features of roots of polynomials. In the later sections we look at roots to polynomials over the finite fie...
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The congruence subgroups of the classical modular group which can be defined as the automorphs modulo q of some fixed matrix are studied, and their genera determined. Let T = SL{2, Z). A congruence subgroup of T is any subgroup containing a principal congruence subgroup T^), defined as the set of elements A of T such that A = I mod q, where q is a positive integer. Of these one of the most impo...
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The elliptic elements of M, each with two conjugate complex fixed points, are precisely the conjugates of nontrivial powers of A and B. The parabolic elements, each with a single real fixed point, are precisely the conjugates of nontrivial powers of C = AB: z ~ z + 1. The remaining nontrivial elements of M are hyperbolic, each with two real fixed points. A subgroup S of M is torsionfree (and th...
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ژورنال
عنوان ژورنال: Journal of Algebra and Its Applications
سال: 2015
ISSN: 0219-4988,1793-6829
DOI: 10.1142/s0219498816500067