given a finite group $G$, is it possible to determine the exact number of one-dimensional representations of $G$
43004
Why are there $|G/G'|$ 1-dimensional representations of $G$?
99694
Number of subgroups of $S_4$
27300
Is there a 1-1 correspondence between symmetry and group theory?
11957
G is the product of its Sylow subgroups
67554
In a group, the number of non-self-inverse elements is even
61550
Existence of elements of order $p^k$ in a finite group
129500
Determinant of the character table of a finite group $G$
31252
"Efficient version" of Cayley's Theorem in Group Theory
63359
Show that the product of all group elements is $e$ or $u$ if $G$ has exactly one involution $u$
28676
Is a finite group uniquely determined by the orders of its elements?
47824
Calculation of subgroups of $(Z_{12}, +)$
81864
Finite group of order $mn$ with $\gcd(m,n) = 1$ .
90845
Is this posible in GR $g_{ab}g^{ab}=1$?
131594
Can the symmetric group $S_n$ be imbedded as a subgroup in $A_{n+1}$?
46687
Elements of $GL_{2}(\mathbb{Z})$ of finite order
64193
Cardinality of Infinite Symmetric group
101596
Determine group G as cyclic