True or false. Order of $\phi (a)$ is equal to the order of $a$
40383
Is it true that $|g| = |\phi(g)|$ for all homomorphisms $\phi: G \to G$ and $g \in G$?
104034
Is $\le$ defined by $\langle 𝑥_1, 𝑦_1 \rangle \le \langle 𝑥_2, 𝑦_2 \rangle$, if $𝑥_1 \le 𝑥_2 \land𝑦_1 \ge 𝑦_2$ a linear order?
71717
Is this always true: $P(A|B) = 1-P(A^c|B)$?
157806
Order of a element on a Symmetric Group
62770
Does $a\mid bc$ imply $a\mid b$ or $a\mid c$?
138819
Prove that $\phi(n) \geq \sqrt{n}/2$
82448
Why is $f(x) = x\phi(x)$ one-to-one?
91935
If $x \equiv a \pmod {p_1}$ and $x\equiv a \pmod{p_2}$, then is it true that $x\equiv a \pmod{p_1p_2} ?$
3775
How many maps $\phi:\Bbb{N}\to\Bbb{N}$ are there with $\phi(ab) = \phi(a)+\phi(b)$?
155579
Show that $End_A(A)$ = {$r_a$ | $a ∈ A$}
98470
If $A \ne \varnothing$, then $\varnothing^A=\varnothing$
84930
How to justify $\phi(n) \ge \sqrt{n}$
76200
Is the rank of $AB$ always equal to the rank of $BA$?
3703
Order of finite fields is $p^n$
98331
Show that if $ab$ has finite order $n$, then $ba$ also has order $n$. - Fraleigh p. 47 6.46.
66610
Finding a correspondence between $\{0,1\}^A$ and $\mathcal P(A)$
155063
Is Cl(f(A)) a subset of f(Cl(A))?