Newbetuts

Prove that $\Big|\frac{f(z)-f(w)}{f(z)-\overline{f(w)}}\Big|\le \Big|\frac{z-w}{z-\overline w}\Big|$

No homomorphism from $Z_{16}\oplus Z_{2}$ onto $Z_{4}\oplus Z_{4}$.

basic difference between canonical isomorphism and isomorphims

Anti-isomorphisms

There does not exist group $G$ such that ${\rm Aut}(G)\cong \mathbb{Z}_n$ (for odd $n$)

What are the values of $a$ and $b$ so that $\Bbb Z_2\times\Bbb Z_3\times\Bbb Z_4\times\Bbb Z_9$ is isomorphic with $\Bbb Z_a\times\Bbb Z_b$?

Example of $2$ non-isomorphic groups that have the same quotients

$\mathrm{Aut}(D_4)$ is isomorphic to $D_4$

Can a "generalized field" with three operations be infinite? [duplicate]

Prove that $\mathbb Z^n$ is not isomorphic to $\mathbb Z^m$ for $m\neq n$ [duplicate]

Showing that $\mathbb{Z}_{24}$ is not isomorphic to $\mathbb{Z}_{4}\times\mathbb{Z}_6$

Proof that $S_3$ isomorphic to $D_3$

Justify $\frac{\mathbb{Z}_a\times \mathbb{Z}_b}{\langle a/c\rangle \times \langle b/d\rangle}$ is isomorphic to $\mathbb{Z}_c\times \mathbb{Z}_d$.

Is $e^x$ the only isomorphism between the groups $(\mathbb{R},+)$ and $(\mathbb{R}_{> 0},*)$?

When is $G/N \cong H/K$?

How "same" are two isomorphic groups?

New posts in group-isomorphism

If a group G is isomorphic to H, prove that Aut(G) is isomorphic to Aut(H)

Prove that $\Bbb Z\times\Bbb Z/\langle (1,1)\rangle$ is isomorphic to $\Bbb Z$,

Group of units of direct sum of rings is isomorphic to direct sum of the groups of units

Show that $U(8)$ is Isomorphic to $U(12)$.

Prove that $\Big|\frac{f(z)-f(w)}{f(z)-\overline{f(w)}}\Big|\le \Big|\frac{z-w}{z-\overline w}\Big|$

No homomorphism from $Z_{16}\oplus Z_{2}$ onto $Z_{4}\oplus Z_{4}$.

basic difference between canonical isomorphism and isomorphims

Anti-isomorphisms

There does not exist group $G$ such that ${\rm Aut}(G)\cong \mathbb{Z}_n$ (for odd $n$)

What are the values of $a$ and $b$ so that $\Bbb Z_2\times\Bbb Z_3\times\Bbb Z_4\times\Bbb Z_9$ is isomorphic with $\Bbb Z_a\times\Bbb Z_b$?

Example of $2$ non-isomorphic groups that have the same quotients

$\mathrm{Aut}(D_4)$ is isomorphic to $D_4$

Can a "generalized field" with three operations be infinite? [duplicate]

Prove that $\mathbb Z^n$ is not isomorphic to $\mathbb Z^m$ for $m\neq n$ [duplicate]

Showing that $\mathbb{Z}_{24}$ is not isomorphic to $\mathbb{Z}_{4}\times\mathbb{Z}_6$

Proof that $S_3$ isomorphic to $D_3$

Justify $\frac{\mathbb{Z}_a\times \mathbb{Z}_b}{\langle a/c\rangle \times \langle b/d\rangle}$ is isomorphic to $\mathbb{Z}_c\times \mathbb{Z}_d$.

Is $e^x$ the only isomorphism between the groups $(\mathbb{R},+)$ and $(\mathbb{R}_{> 0},*)$?

When is $G/N \cong H/K$?

How "same" are two isomorphic groups?