Newbetuts
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New posts in finite-groups
If $|G| = n < 60$, and $n$ is composite, then $G$ is not a simple group. Why? [duplicate]
abstract-algebra
group-theory
finite-groups
galois-theory
solvable-groups
A group of order less than $60$
abstract-algebra
group-theory
finite-groups
galois-theory
solvable-groups
What is the intersection of all Sylow $p$-subgroup's normalizer?
abstract-algebra
group-theory
finite-groups
sylow-theory
Solvability of a group with order $p^n$
abstract-algebra
group-theory
finite-groups
Cardinality of $\text{Aut}(G\times G) $
abstract-algebra
group-theory
finite-groups
Number of solutions to $x^n=e$ in group $G$ is divisible by $n$
group-theory
elementary-set-theory
finite-groups
Does there exist a finite group whose automorphism group is simple?
finite-groups
automorphism-group
$A_5$ is the only subgroup of $S_5$ of order 60 [duplicate]
abstract-algebra
group-theory
finite-groups
More on numbers of homomorphisms.
group-theory
finite-groups
How many $A_5$ are there inside $A_6$?
group-theory
finite-groups
polyhedra
Every finite group is the Galois group of a field extension
abstract-algebra
field-theory
finite-groups
galois-theory
When is a class function the character of a representation?
abstract-algebra
group-theory
finite-groups
representation-theory
An element of $GL_n(\mathbb F_p)$ cannot have order $p^2$ if $n < p$
linear-algebra
group-theory
finite-groups
Square free finite abelian group is cyclic
group-theory
finite-groups
The existence of a group automorphism with some properties implies commutativity.
abstract-algebra
group-theory
finite-groups
abelian-groups
sum of trace for representations of finite groups
abstract-algebra
finite-groups
representation-theory
Is the Dihedral Group of order $24$ isomorphic to the Symmetric Group on $4$ elements? [closed]
abstract-algebra
group-theory
finite-groups
group-isomorphism
What is the number of automorphisms (including identity) for permutation group $S_3$ on 3 letters?
abstract-algebra
group-theory
finite-groups
permutations
$p$ is the minimal prime dividing the order of $G$, and $H$ operates on $G/H$ by multiplication. $H/\ker\left(\varphi\right)$ embedded in $S_{p-1}$
group-theory
finite-groups
symmetric-groups
group-homomorphism
How "big" can the center of a finite perfect group be?
group-theory
finite-groups
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