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1. Groups, Subgroups, Cyclic Groups, Permutation Groups. 2. Normal Subgroups, Homomorphisms, Direct and Semidirect Products, Quotient Groups, Isomorphism Theorems. 3. The Structure Theorem For Finitely Generated Abelian Groups. 4. The Action of a Group On a Set# Orbits and Stabilizers, Burnside's Lemma, Class Equation. P-group and Sylow's Theorems. 5. Free Groups, The Symmetric Group, Simple Groups and Automorphisms Groups.

Faculty: Mathematics
|Undergraduate Studies

Pre-required courses

104168 - Algebra B or 104173 - Linear Algebra 2 or 104174 - Algebra Bm

Course with no extra credit

104134 - Modern Algebra H

Course with no extra credit (contained)

104172 - Introduction to The Theory of Groups

• Abstract algebra - Dummit, David S.
• Abstract algebra - Dummit, David S.
• Algebra - Artin, Michael.
• Algebra - Artin, Michael.
• An introduction to the theory of groups - Rotman, Joseph J.
• מבוא לתורת החבורות - צילג, דוד
• מבנים אלגבריים
• מבנים אלגבריים : חבורות, חוגים ושדות - דה שליט, אהוד