An example of a group, a subgroup and an element, satisfying a given condition.
41085
Conjugate subgroup strictly contained in the initial subgroup?
26398
Group of even order contains an element of order 2
140563
Concrete examples of group actions.
35401
Examples of finite groups that are not a semidirect product
15633
If G is a group of even order, prove it has an element $a \neq e$ satisfying $a^2 = e$.
42449
Is there any efficient algorithm for finding subgroups of a given finite group?
126893
A group of order 2p (p prime) and other conditions - prove abelian.
13153
at least one element fixed by all the group
91997
Product of two subgroups the whole group?
104980
Possibilities for a group $G$ that acts faithfully on a set of objects with two orbits?
98542
Prove that $H$ is a subgroup of an abelian group $G$
133770
Subgroups of finite abelian groups.
98474
Show the existence of a certain subgroup of F2
80273
Prove the centralizer of an element in group $G$ is a subgroup of $G$
62255
Notation question: Subroup generated by two elements?
57883
Example of a Subgroup That Is Not Normal
114662
Construction of a specific non-commutative and infinite group (with conditions on the order of the elements)