پرۆژەی جەبری کوردستان (پ. ج.ک) / Kurdistan Algebra Project (KAP) / 2026

Kurdistan Algebra Project (KAP)

(پ. ج.ک) پرۆژەی جەبری کوردستان

2026 Edition

Information about the 2026 Edition:

Textbook: ALGEBRA I: Online Notes by Peter Stevehagen (translated by Reinie Erné). 2025
Further reading: Abstract Algebra, 3rd Edition. Richard M. Foote, David S. Dummit ISBN: 978-0-471-43334-7
Lectures will be held at the College of Science - Salahaddin University-Erbil
The course consists in 6 hours every week with a schedule that will be published later
For the further information, contact Dr. Andam Mustafa Ali

11 Jan – 22 Jan	Peter Stevenhagen	What Is Algebra? Groups, Rings, and Fields Symmetries of the Rhombus Arithmetic Modulo 8 Symmetries of the Square Permutations of Four Elements Spatial Symmetries The Group Axioms Orders of Groups and Elements Permutation Groups Cycle Notation Subgroups, Cyclic Groups The Sign Map
25 Jan – 5 Feb	Ahmad El-Guindy	Plane Symmetries and Homomorphisms Plane Geometry Isometries The Orthogonal Group Plane Symmetry Groups Sign of an Isometry Geometry with Complex Numbers Plane Transformation Groups Exercises Homomorphisms, Isomorphisms, Automorphisms Additive Notation Kernel and Image Injectivity Cosets The Isomorphism Theorem Normal Subgroups Quotient Groups
8 Feb – 19 Feb	Daniele Angella	Group Actions Cubic and Tetrahedral Groups Orbit, Stabilizer, Fixed Point Orbit Decomposition Formula Combinatorical Applications Regular Action Conjugation Action Cauchy’s Theorem Integers Division with Remainder GCD and LCM Prime Numbers Unique Prime Factorization Rings The ring Z/nZ Arithmetic Modulo n Euler’s Theorem and Fermat’s Little Theorem
MIDTERM EXAM
5 Apr – 16 Apr	Laura Geatti (Lea Terracini)	Factorization and Cryptography Primality of Large Numbers Large Number Factorization Cryptography The RSA Cryptosystem Digital Signatures Safety of RSA Discrete Logarithms Diffie–Hellman protocol
19 Apr – 30 Apr	Rahim Zaare-Nahandi (Rashid Zaare-Nahandi)	Quotients, Products and abelian Groups Subgroups under Quotient Maps Homomorphism Theorem Commutator Subgroup Direct Product Semi-direct Product Exact Sequences Splitting Exact Sequences Free Abelian Groups Structure Theorem The Group (Z/nZ)^∗
3 May – 14 May	Francesco Pappalardi (Michel Waldschmidt)	Finite Groups Non-abelian Exact Sequences Classification for Simple Group Orders Sylow p-Subgroups Construction of Normal Subgroups Solvable Groups Simple Groups Further topics Preparation to final Exam