To Prove :Every subgroup of a cyclic group is cyclic. Cyclic Group :It is a group generated by a single element, and that element is… Read More

# Category Archives: Engineering Mathematics

When we flip two fair coins simultaneously. Intuitively, the way one coin lands does not affect the way the other coin lands. The mathematical concept… Read More

Order of Permutation-: For a given permutation P if Pn= I (identity permutation) , then n is the order of permutation. Let a permutation and… Read More

The Latex command to put the border (box) around an equation is as \fbox or \boxed Description : \boxed command draws a box around argument.… Read More

Let the set G on which a binary operation o is defined from a group (G , o). G is a group if it satisfies… Read More

Group : It is a set equipped with a binary operation that combines any two elements to form a third element in such a way that… Read More

Logical reasoning forms the basis for a huge domain of computer science and mathematics. They help in establishing mathematical arguments, valid or invalid. 1. Propositional… Read More

Inverse of Permutation Group-: If the product of two permutations is the identical permutation then each of them is called inverse of each other. For… Read More

Even Permutations: A permutation is called even if it can be expressed as a product of even number of transpositions. Example-1: Here we… Read More

Arguments are an important part of logical reasoning and philosophy. It also plays a vital role in mathematical proofs. In this article, we will throw… Read More

Introduction : Suppose an event can occur several times within a given unit of time. When the total number of occurrences of the event is… Read More

Problem-1:Set G = { 1, ω, ω2 } i.e., three roots of unity and form a finite abelian group with respect to multiplication, also prove… Read More

Permutation–: Let G be a non-empty set, then a one-one onto mapping to itself that is is called a permutation. The number of elements in… Read More