Abstract Algebra - 4.2 Cyclic Groups and Their Properties a^k=a^gcd(n,k)

Abstract Algebra - 4.3 Classification of Subgroups of Cyclic Groups

Abstract Algebra - 4.1 Cyclic Groups and Their Properties (𝑎^𝑖=𝑎^𝑗)

Cyclic Groups, Generators, and Cyclic Subgroups | Abstract Algebra

(Abstract Algebra 1) The Structure of Cyclic Groups

Every Subgroup of a Cyclic Group is Cyclic | Abstract Algebra

Cyclic Groups (Abstract Algebra)

(Abstract Algebra 1) Definition of a Cyclic Group

Let G be cyclic group of order n then a_k is generator of G if gcd(k, n)=1

[a^k] = [a^gcd(n,k)] and |a^k| = n/gcd(n,k) Proof (Abstract Algebra)

Abstract Algebra | General results regarding cyclic groups.

proof.{a^k}={a^gcd(n,k)} and |a^k|=n/gcd(n,k)

a^(m) is a generator of group G of order n iff GCD(m,n)=1

every subgroup of a cyclic group is cyclic.

Abstract Algebra - 7.1 Cosets and Their Properties

Modern Algebra (Abstract Algebra) Made Easy - Part 3 - Cyclic Groups and Generators

for each positive divisor k of n, the group (a) has exactly one subgroup of order k

how to study less and get higher grades

301.4E Subgroup Lattice for Cyclic Groups

Every Subgroup of a Cyclic Group is Cyclic Proof