Are the set of all one-one functions f: A→A under the composition of mappings, forms a group or not
33196
show that A(T) is a group under operation of composition of functions
128766
Show that the set of functions $\mathbb{N}\to\{0,1\}$ is not countable
21068
Is composition of measurable functions measurable?
74453
Injective and Surjective Functions
155063
Is Cl(f(A)) a subset of f(Cl(A))?
55175
Is the function $f(x) = x^2 - 2x$ one-to-one?
67234
The function $G: x \mapsto 2^{x^2}$ maps $\mathbb{R}$ onto $\{ x \in \mathbb{R} : x \geq 1 \}$
91980
Prove that f is one-to-one on D
56492
Does the order of $f(x)$ divide the order of $x$ if $f$ is a group homomorphism?
88928
$F:G\to B$ is an isomorphism between groups implies $F^{-1}$ is an isomorphism
141714
Existence of a functor $\mathsf{Sets} \to \mathsf{Groups}$ that admits a left adjoint
25439
f(a) = inverse of a is an isomorphism iff a group G is Abelian
88278
Show $S = f^{-1}(f(S))$ for all subsets $S$ iff $f$ is injective
24107
Bijection $f:\mathcal{P}(A)\to(A\to \{0,1\})$
110142
1-1 Function Composition
34836
Composition of Absolutely Continuous Functions
43759
Prove that the set $\mathrm{Aut}(G)$ of all automorphisms of the group $G$ with the operation of taking the composition is a group