B.Sc Method Chapter 2 (Groups) Notes

Sami Aslam

Mathematical Methods (B.Sc.)

Chapter:02 (Groups)

In this chapter, we will study the following topics:

binary operation
cayley’s group table
groups of quaternions
properties of group
solution of linear equations
order of a group
order of a element
infinite order
subgroup
intersections of subgroups
nontrivial subgroup
every subgroup of a cyclic group is cyclic
every cyclic group is abelian
cosets & Lagrange’s theorem
right and left coset
permutations on X
permutations groups
special linear groups
multiplicative modulo
cycles
cyclic permutations
if two cycles are mutually disjoint sets then they commute
transpositions
order of permutations
rings and fields
right and left distributive law
properties of a ring
division ring
skew field
multiplicative identity

The post B.Sc Method Chapter 2 (Groups) Notes appeared first on The College Study.

Newer
Older