Roshan Maharjan

Group with elements other than numbers

a) Permutation Group:A permutation group is a group G whose elements are permutations of a given set M and whose group operation is the composition of permutations in G. A Permutation group elem...

Group ,its axiom and types

Group:An algebraic structure (G,*) , where G is a non- empty set with an operation '*' defined on it, is said to be a group  , if the operation * satisfies the following axioms.Closure axiom : G i...

Algebraic structure in elementary group theory

 Algebraic Structure:A set with one or more binary operations gives rise to what is commonly known as a algebraic structure. In particular ,the set of integers under the addition operation '+' is...

Introduction to elementary group theory

Introduction:Group theory is the study of algebraic structures called groups. This theory will rely heavily on set theory and modular arithmetic as well . It will require an understanding of mat...