Learn group theory or abstract algebra in pure mathematics with examples and solved exercises
This is an advanced level course of Introduction to Abstract Algebra with majors in Group Theory. The students who want to learn algebra at an advanced level, usually learn Introduction to Abstract Algebra: Group Theory. The course is offered for pure mathematics students in different universities around the world. However, the students who take the Introduction to Abstract Algebra: Group Theory course, are named super genius in group theory. Not so much difficult, but regular attention and interest can lead to the students in the right learning environment of mathematics. Many students around the world have their interest in learning Introduction to Abstract Algebra: Group Theory but they could't find any proper course or instructor.
Abstract Algebra is comprised of one of the main topics which are also called Group theory. Group Theory or Group is actually the name of the fundamental four properties of mathematics that are frequently used in real analysis. We actually establish a strong background of Group Theory by defining different concepts. Proof of theorems and solutions of many examples is one of the interesting parts while studying Group Theory.
This course is filmed on a whiteboard (8 hours) and Tablet (2 hours). The length of this course is 10 hours with more than 15 sections and 100 videos. Almost every content of Group Theory has been included in this course. The students have difficulties in understanding the theorem, especially in Group Theory. Theorems have been explained with proof and examples in this course. A number of examples and exercises make this course easy for every student, even those who are taking this course the first time.
I assure all my students that they will enjoy this course. But however, if they have any difficulty then they can discuss it with me. I will answer your every question with a prompt response. One thing I will ask you is that you must see the contents sections and some free preview videos before enrolling in this course.
CONTENTS OF THIS COURSE
Groups and related examples
The identity element is the only element that is idempotent
Cancellation law hold in a group G
Definition of Subgroups and related examples
H is a subgroup if ab^-1 is contained in H
The intersection of any collection of subgroups is a subgroup
HuK is a subgroup if H is contained in Kor K is contained in H
Cyclic group and related examples
Every subgroup of a cyclic group is cyclic
Definition of cosets and related examples
Prove that the number of left or right cosets define the partition of a group G
Statement and Proof of Lagrange's Theorem
Symmetric groups and related examples and exercises
Group of querternian and Klein's four group
Normalizers, centralizers, and center of a group G and related theorem and examples
Quotient or Factor groups
Derived groups and related many examples
Normal Subgroups, conjugacy classes, conjugate subgroups, and related examples and theorems
Kernel of group
Automorphism and inner automorphism
P Group and related theorems and examples
Relations in groups like homomorphism and isomorphism
The centralizer is a subgroup of a group G
The normalizers is a subgroup of a group G
The Center of a group is a subgroup of a group G
The relation of conjugacy is an equivalence relation
Theorem and examples on quotient groups
Double cosets and related examples
Definition of automorphism
What is an inner automorphism
Every cyclic group is an abelian group
Groups of residue classes on a different mode
Examples of D_4 and D_5 groups
Examples related to C_6 and V_4
The first isomorphism theorem and its proof
The 2nd isomorphism theorem and its proof
The 3rd isomorphism theorem and its proof
The direct product of cyclic group
Debes tener en cuenta que los cupones duran maximo 4 dias o hasta agotar 1000 inscripciones,pero puede vencer en cualquier momento. Obten el curso con cupon haciendo clic en el siguiente boton:
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