Group of invertible elements make a multiplicative group
87946
Proving that the unities of a ring form a group under multiplication
5758
Prove that $I+\lambda A$,$I+\lambda B$,$I+\lambda C$ are invertible and A=B=C
42809
How can we show that $(I-A)$ is invertible?
25744
Multiplication in Permutation Groups Written in Cyclic Notation
76504
Non-trivial cyclic group with unique generator
81543
Finite abelian group contains an element with order equal to the lcm of the orders of its elements
39788
$a+1,a-1$ invertible for nilpotent element
45947
Find generator of multiplicative group of $\mathbb{F}_{27}$
127764
Showing that $\mathbb{Q}[\sqrt{2}, \sqrt{3}]$ contains multiplicative inverses
94855
Prove if a (mod n) has a multiplicative inverse, then it's unique
123699
Schur multiplier as a subgroup in finite abelian groups.
56551
Multiplicative group of field extension over base field
26398
Group of even order contains an element of order 2
46260
Prove that a group generated by two elements of order $2$, $x$ and $y$, is isomorphic to $D_{2n}$, where $n = |xy|.$
84823
When is the group of units in $\mathbb{Z}_n$ cyclic?
18361
Does the unit generate the additive group in a unital ring with cyclic additive group?
74970
Subsubgroups are subgroups of subgroups / Multiplicative Property of the Index