Groups of units of cyclic groups of order $2^n$
107687
How to prove that $U_{2^n}$ is isomorphic as group to $\mathbb Z_2 \times \mathbb Z_{2^{n-2}}$ for $n \ge 3$?
60075
Does there exist an $n$ such that all groups of order $n$ are Abelian?
144258
How to show a group is cyclic?
16476
Order of the product of two commuting elements with coprime orders in a group.
102429
There are 2 groups of order 6 (up to isomorphism)
138383
group of units in a topological ring
39938
Subgroups of a cyclic group and their order.
87946
Proving that the unities of a ring form a group under multiplication
73402
Showing that $(\mathbb{Z}/p^{a}\mathbb{Z})^*$ is a cyclic group
76504
Non-trivial cyclic group with unique generator
50762
If $S_n$ has cyclic subgroups of these orders or not?
132475
Simple method the show that a group of order 15 is cyclic
112165
Classification of groups of order 12
43058
If $n > 2$, prove that the order of the multiplicative group of units modulo n, $U_n$, is even.
102971
Product of all elements of a finite group with an unique element of order 2
8841
A $p$-group of order $p^n$ has a normal subgroup of order $p^k$ for each $0\le k \le n$
31687
Classification of groups of order 30