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Group-theory
New post in Group-theory
Prove that a quotient group is cyclic
March 13th, 2020
group-theory
Proving that if left coset multiplication is well-defined then $H$ is a normal subgroup
April 23rd, 2020
abstract-algebra
group-theory
(Proof Check) Cosets: $aH=Ha$ if and only if $H=aHa^{-1}$ and question about coset multiplication
March 16th, 2020
group-theory
proof-verification
proof-explanation
abstract-algebra
Multiplicative Group of Complex Numbers
August 10th, 2020
complex-numbers
abstract-algebra
group-theory
centralizer of dihedral group
April 20th, 2020
group-theory
Rotational symmetries of a simple rectangular solid with application
February 25th, 2020
symmetric-groups
group-theory
If an abelian group G of order 10 contains an element of order 5,how can i prove that G must be a cyclic group
November 21st, 2020
group-theory
abstract-algebra
Is the the number of generators of a group the number of different generators that one finds if one counts over every generating set of the group?
May 19th, 2020
group-theory
Proving the group of homomorphisms is isomorphic to matrices
August 1st, 2022
linear-algebra
abstract-algebra
group-theory
How to define a compatible relation using a cover
August 1st, 2022
group-theory
Order of element in group given by order of conjugacy class
August 1st, 2022
abstract-algebra
group-theory
Proving a map is an automorphism
August 1st, 2022
abstract-algebra
group-theory
Let $G$ be a group of order $27.$ If $G$ is not abelian, then $|Z(G)|=3,$ where $Z(G) = \{z \in G: zg=gz, \forall g \in G\}$
August 1st, 2022
group-theory
finite-groups
proof-verification
Prove or disprove: If H is a normal subgroup of G such that H and G/H are abelian, then G is abelian.
January 18th, 2020
normal-subgroups
abelian-groups
group-theory
Show that $H$ is a normal subgroup of $G$ is it has index $2$.
August 1st, 2022
abstract-algebra
group-theory
Let $H$ and $K$ be normal subgroups of $G$ such that $H \cap K = \langle e \rangle$ and $HK = G$. Prove that $G$ is isomorphic to $H \times K$.
August 1st, 2022
group-theory
abstract-algebra
How to prove this Inverse Property of Group
August 1st, 2022
group-theory
proof-writing
Point Division in Elliptic Curve Cryptography?
August 1st, 2022
cyclic-groups
group-theory
elliptic-curves
Prove the direct product of two subgroups is a subgroup
August 1st, 2022
direct-product
abstract-algebra
group-theory
normal-subgroups
Intuition - Theorem - A group homomorphism preserves normal subgroups - Fraleigh p. 149. Theorem 15.16
August 1st, 2022
group-theory
intuition
visualization
Prove that $ AB$ is a subgroup of order $mn$ if $m$ and $n$ are relatively prime.
April 8th, 2020
group-theory
abstract-algebra
$H$ is a normal subgroup of order $2$.
May 29th, 2020
group-theory
normal-subgroups
Odd Permutations
August 1st, 2022
abstract-algebra
group-theory
permutations
Abstract algebra true or false answer check
June 25th, 2020
solution-verification
linear-algebra
abstract-algebra
group-theory
Cyclic Subgroup of Order 2
August 1st, 2022
group-theory
abstract-algebra
Prove that the set of all unitary operators on unitary space $ \mathcal U$ is a group
September 12th, 2020
group-theory
linear-algebra
|ab|=lcm(|a|,|b|) in an abelian group
October 10th, 2020
abelian-groups
group-theory
abstract-algebra
least-common-multiple
finite-groups
Let $G$ be a group, and suppose that $M$ and $N$ are normal subgroups of $G$. Prove that the intersection of $M$ and $N$ is a subgroup of $G$.
August 1st, 2022
group-theory
How to prove determinant is a group homomorphism and onto?.
November 29th, 2020
group-theory
linear-algebra
determinant
Group Theory- S3 table
July 27th, 2020
group-theory
representation-theory
symmetric-groups
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