Which group is simple?
63725
No group of order 200 is simple
13153
at least one element fixed by all the group
114535
what groups have only elements of prime order?
59898
Elementary manipulation with elements of group
62000
$G$ is characteristically simple $\iff$ there is simple $T$ such that $G \cong T\times T \times \cdots \times T$
54195
Do groups of prime order have one subgroup?
92750
Groups where all elements are order 3
90256
Example of a simple graph isomorphic to a permutation group.
115849
Are the Groups having all subgroups of same order conjugate classified?
132371
Confused about the definition of a group as a groupoid with one object.
101735
A finite $p$-group cannot be simple unless it has order $p$
16637
How do I list the members of a group?
49366
Group of order 30 can't be simple
124237
Group equals union of three subgroups
81493
"Easy" vs. "simple"
63451
Is there some sort of classification of all minimal non-cyclic groups?
85379
Semigroup analogue to the classification of finite simple groups?