New post in Abstract-algebra

Why are the nonzero integers under multiplication NOT a group?

November 8th, 2022

Show that $\Bbb R[x]/\langle x^{2}+1\rangle$ is a field.

August 18th, 2022

Let $G$ be a group. Prove that $o(xy) = o(yx)$ for all $x,y \in G$

July 23rd, 2022

If a cyclic group G has exactly three subgroups then find order of G.

August 18th, 2022

Is Z/p a finite field only when p is prime number?

July 23rd, 2022

Giving examples of some group $G$ and elements $g,h \in G$ where $(gh)^{n}\neq g^{n} h^{n}$.

December 7th, 2022

What are the inverses of $1,3,7,9$ in the group $(G,*_{10})$?

July 23rd, 2022

If G/N is cyclic, then G is abelian.

July 23rd, 2022

Is the set of all 2x2 matrices a ring with zero divisors?

August 15th, 2022

Example of an ideal which is not principal in the ring $\mathbb{Z} [x]$

August 15th, 2022

# of invertible $n \times n$ matrices with entries in field $k$ with $q$ elements?

August 14th, 2022

Number of subfields of a given field

August 14th, 2022

the $\sigma$ algeba generated by the class of open intervals with rational end points coincide with the borel $\sigma$ algebra on the real line.

September 29th, 2022

Cyclic group of order 8

September 8th, 2022

Nonabelian group of six elements

July 30th, 2022

For an associative binary operation with identity, the set of invertible elements forms a group

August 9th, 2022

Group Theory Question on the set of real numbers

July 21st, 2022

Determinant of Gram matrix - without knowing it's a Gram matrix or using anything "fancy"

July 29th, 2022

Prove or disprove that S is a subring of M2(Z).

May 2nd, 2020

Showing a subset of Z15 is a group

August 1st, 2022

prove that (Ha)(Hb)=Hab iff H is normal

December 22nd, 2020

What is an example of a subgroup $H\le S_3$ that is not normal?

August 13th, 2022

Do all integral domains have unity?

August 1st, 2022

Fundamental theorem of Finitely generated abelian groups

August 1st, 2022

Why is the Converse to Lagrange's Theorem False?

August 1st, 2022

Give an example of a nonabelian group such that G/Z(G) is...

November 17th, 2020

How do I multiply 2 cycles?

August 1st, 2022

Describe all extensions of the identity map of $\mathbb{Q}$ to an isomorphism mapping $\mathbb{Q}(\sqrt[3]{2},\sqrt{3})$

April 9th, 2020

Prove if any group has order 9, then it is abelian.

September 20th, 2020

Multiplication in field Z5

January 18th, 2020