Let $G$ be a group of order 35. Show that $G \cong Z_{35}$
151025
If G is a group of order n=35, then it is cyclic
136300
{5,15,25,35} is a group under multiplication mod 40
11003
Proving that $G/N$ is an abelian group
9129
Show that $\mathbb{Q}(\zeta_n)$ is Galois over $\mathbb{Q}$ and $Gal(\mathbb{Q}(\zeta_n)/\mathbb{Q}))\cong \mathbb{Z_n}^*$
43580
Let $p$ be a prime number and $G$ a non abelian group or order $p^3$. Prove that $Z(G) = [G,G]$.
39938
Subgroups of a cyclic group and their order.
46687
Elements of $GL_{2}(\mathbb{Z})$ of finite order
53357
Cyclic Group Generators of Order $n$
92899
$G$ is non abelian simple group of order $<100$ then $G\cong A_5$
156319
Show that a group with $|G| = 33$ contains an element of order $3$
83654
Order of an element in a finite cyclic group
106577
If G is not abelian with order $p^3$ then $G'=Z(G)$
116080
Let G be a finite group with more than one element. Show that G has an element of prime order
91774
Existence of group $G$ with $|G|>2$ and automorphism group of odd order
129937
How to prove that $A_5$ has no subgroup of order 30?
7575
Show the commutator subgroup of $S_{n}$ is $A_{n}$ for $n \geq 5$
127603
If $G$ be a group of order $8$ and $x$ be a element of order $4$. Prove that $x^2 \in Z(G)$