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Cyclic-groups
New post in Cyclic-groups
If a cyclic group G has exactly three subgroups then find order of G.
August 18th, 2022
cyclic-groups
abstract-algebra
group-theory
Order of a cyclic group
July 23rd, 2022
group-theory
cyclic-groups
If G/N is cyclic, then G is abelian.
July 23rd, 2022
abelian-groups
cyclic-groups
abstract-algebra
group-theory
Let G be a cyclic group of order 24 then what is the total number of isomorphism ofG onto itself ??
August 15th, 2022
cyclic-groups
group-isomorphism
group of order 27 must have a subgroup of order 3
August 15th, 2022
group-theory
cyclic-groups
Cyclic group of order 8
September 8th, 2022
cyclic-groups
group-theory
abstract-algebra
How to calculate the generators for the multiplicative group $\Bbb Z_4^*$
August 1st, 2022
cyclic-groups
group-theory
Prove that in any group an element and its inverse have same order.
August 1st, 2022
finite-groups
abstract-algebra
cyclic-groups
Order of element in multiplicative group modulo n, where n is not prime
November 6th, 2020
cyclic-groups
multiplicative-order
group-theory
Point Division in Elliptic Curve Cryptography?
August 1st, 2022
cyclic-groups
group-theory
elliptic-curves
Abstract Algebra: Cyclic Groups (Lattice Diagram)
December 31st, 2020
cyclic-groups
abstract-algebra
Prove that the total number of subgroups of a finite cyclic group $G=\langle a \rangle$ such that $o(G)=n$ is the number of divisors of $n$.
October 29th, 2020
group-theory
finite-groups
cyclic-groups
abstract-algebra
nth root of unity in a cyclic group $\mathbb{Z}_p^*$
December 14th, 2020
roots-of-unity
cyclic-groups
modular-arithmetic
primitive-roots
If every cyclic subgroup of a group G be normal in G, prove that every subgroup of G is normal in G.
August 1st, 2022
normal-subgroups
abstract-algebra
group-theory
cyclic-groups
Prove that a finite Abelian group $G$ is not cyclic if and only if it contains a subgroup isomorphic to $\mathbb{Z}_p\times\mathbb{Z}_p$
August 1st, 2022
cyclic-groups
finite-groups
group-theory
How does one prove U(100) is not cyclic without computing the order of any element?
August 1st, 2022
group-theory
cyclic-groups
finite-groups
abstract-algebra
Finding the number of Bracelet five beads different colors
November 18th, 2020
combinatorics
cyclic-groups
permutations
Let $G$ be a group with order $p$ a prime number. Show $G$ is cyclic.
August 1st, 2022
group-theory
cyclic-groups
abstract-algebra
Help to see if my claim is correct dealing with cyclic groups
August 1st, 2022
abstract-algebra
cyclic-groups
Cyclic group 60
September 27th, 2020
cyclic-groups
group-theory
abstract-algebra
Prove that $G \times H$ is cyclic $\iff$ $\gcd(m,n) =1$
August 1st, 2022
abstract-algebra
direct-product
cyclic-groups
How many elements of order 2 in a group of order 16 generated by two elements
October 25th, 2020
finite-groups
group-theory
cyclic-groups
How do you list all subgroups of D6 (which is of order 6)?
February 10th, 2020
dihedral-groups
group-theory
cyclic-groups
Prove or disprove that there is an abelian, noncyclic group of order 52.
August 1st, 2022
group-theory
sylow-theory
cyclic-groups
abelian-groups
Groups - Prove that if $G/Z(G)$ is cyclic then $G$ is abelian
August 1st, 2022
cyclic-groups
finite-groups
abelian-groups
Cosets/ Cyclic group
August 1st, 2022
cyclic-groups
group-theory
abstract-algebra
How do you find the generator for an additive group?
August 1st, 2022
cyclic-groups
group-theory
finite-groups
Is there a formula for finding all generators of a cyclic group.
October 21st, 2020
cyclic-groups
abstract-algebra
How can I find cyclic subgroups of $S_3$?
August 1st, 2022
permutation-cycles
cyclic-groups
group-theory
abstract-algebra
Subgroups of $S_4$ generated by cycles
February 8th, 2020
permutations
cyclic-groups
abstract-algebra
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