In the field of mathematics and abstract algebra, the group theory generally signifies the algebraic structures, which are termed as the groups. The theory of group is the central to the abstract algebra, encompassing a number of algebraic structures, such as, fields, rings and vector spaces and can be viewed as groups provided with the added operations and axioms. The course Group Theory basically introduces students about the fundamentals of the group theory, comprising the permutation groups, symmetry groups, cyclic and abelian. The course, as well cover group homomorphisms, normal subgroups, subgroups, quotient groups, Sylow theorems and many more. As the subject is quite complex, students often face difficulties in finishing their Group Theory assignments. It is advisable to take online assistance from MATH222 Group Theory Assignment Help service for precisely completing your university assignment tasks.
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Below are some of the Group Theory related topics, in which our professional Math Assignment Help service offer online assistance:
- Definition of Group
- Groups of Matrices
- Quaternion Group
- Isomorphisms Theorems
- Lagrange's theorem
- Cayley's theorem
- Cauchy's theorem
- Sylow theorems
- Lower and upper central series
- Nilpotent groups
- Structure of Finite abelian groups
- Applications of the Sylow Theorems
- Finitely generated abelian groups
- Smith Normal Form
- Linear groups
- Linear fractional group and PSL
- Group actions and enumeration
- Ring theory
- Ring homomorphisms
- Chinese Remainder Theorem
- Groups as symmetries
- Subgroups and quotient groups
- Groups of symmetries of plactonic solids
- Group automorphisms
- Composition series
- Jordan-Hoelder theorem
- Nilpotent and solvable groups