Group with a property that $x^{-1}=x$
57421
If $\forall x \in G$ where G is a group $x=x^{-1}$ then how is this group abelian?
154001
$(g\circ f)^{-1}=f^{-1}\circ g^{-1}$
89637
Proof that in a field $x=0$ is equivalent to $x=-x$
145125
How to prove that $A^{-1} + B^{-1}$ is invertible given the conditions
133762
A set which satisfies all conditions for a Group except associativity
122914
An integer $n$, such that $nx = 0$, where $x$ belongs to the quotient group $\Bbb Q/\Bbb Z$
88928
$F:G\to B$ is an isomorphism between groups implies $F^{-1}$ is an isomorphism
126771
Group element not taken to its inverse by any automorphism
115427
Galois group of $\prod_{i=1}^{p-1} (X^2-i)$
8602
Galois Group of $(x^2-p_1)\cdots(x^2-p_n)$
129653
Solving a polynomial with grouping
100465
Does there exist a continuous bijection from $(-1,1) \to (-1,1]$?
60208
Proof of property of abelian group
24181
Showing that $G$ is a group under an alternative operation.
148458
$x^p-x \equiv x(x-1)(x-2)\cdots (x-(p-1))\,\pmod{\!p}$
89234
Any Set with Associativity, Left Identity, Left Inverse is a Group
13807
Is there a way to prove that the order of an element in a Group divides the order of the Group, WITHOUT USING LAGRANGE'S