New posts in simple-groups

No group has commutator isomorphic to S_4

finite-groups symmetric-groups simple-groups solvable-groups

Any simple group of order $60$ is isomorphic to $A_5$

group-theory reference-request simple-groups

Definition of Simple Group

abstract-algebra group-theory simple-groups

Is there a counterexample to this weakened converse of Hall's theorem?

group-theory reference-request finite-groups examples-counterexamples simple-groups

Assume $H,G$ are simple groups. Can we prove that either $H\unlhd HG$ or $H\unlhd GH$?

group-theory normal-subgroups simple-groups

Characterization of $A_5$ by the Centralizer of an Involution

abstract-algebra group-theory finite-groups representation-theory simple-groups

Why is $A_5$ a simple group?

simple-groups

Is $\mathfrak{so}_{\mathbb{R}}(p,q)$ semisimple? [duplicate]

abstract-algebra lie-groups lie-algebras orthogonal-matrices simple-groups

Every normal subgroup of a finite group is contained in some composition series

abstract-algebra group-theory finite-groups simple-groups

Why is $PGL(2,4)$ isomorphic to $A_5$

group-theory simple-groups exceptional-isomorphisms

Showing groups of order $p^{k}(p+1)$ are not simple, p prime

group-theory simple-groups

Simple group of order $660$ is isomorphic to a subgroup of $A_{12}$

abstract-algebra group-theory simple-groups

What do Sylow 2-subgroups of finite simple groups look like?

finite-groups sylow-theory simple-groups fusion-systems 2-groups

Do there exist simple groups of order $n(n+1)$ for some integer $n>1$?

group-theory finite-groups simple-groups

Are there any distinct finite simple groups with the same order?

group-theory finite-groups simple-groups

$G$ is characteristically simple $\iff$ there is simple $T$ such that $G \cong T\times T \times \cdots \times T$

group-theory finite-groups simple-groups characteristic-subgroups

Is there a simple group of any (infinite) size?

group-theory logic simple-groups

Is there an infinite simple group with no element of order $2$?

group-theory finite-groups simple-groups

How confident can we be about the validity of the classification of finite simple groups?

group-theory finite-groups simple-groups

How do we compute the order of the Monster group?

group-theory finite-groups simple-groups