Newbetuts
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New posts in finite-groups
On group varieties and numbers
abstract-algebra
group-theory
number-theory
finite-groups
universal-algebra
All non abelian groups of order $56$, when $\mathbb Z_7\triangleleft G$
abstract-algebra
finite-groups
solution-verification
sylow-theory
semidirect-product
Class equation of subgroup of $SL(4,\mathbb{F}_2)$
group-theory
representation-theory
finite-groups
Quotient of the direct product of cyclic groups
abstract-algebra
group-theory
finite-groups
cyclic-groups
direct-product
How many Groups there are on a finite set?
abstract-algebra
group-theory
finite-groups
binary-operations
groups-enumeration
Semigroups and solutions of equation
group-theory
finite-groups
semigroups
How large can the outer automorphism group be?
soft-question
finite-groups
asymptotics
automorphism-group
$S_4/V_4$ isomorphic to $S_3$ - Understanding Attached Tables
abstract-algebra
group-theory
finite-groups
symmetric-groups
normal-subgroups
Finite Abelian groups: $G \times H \cong G\times K$ then $H\cong K$
abstract-algebra
group-theory
finite-groups
abelian-groups
How many subgroups of order 17 does $S_{17}$ have?
abstract-algebra
group-theory
proof-verification
finite-groups
sylow-theory
Finding $n$ elements of $\mathbb{Z}_n\times\mathbb{Z}_n$ such that their differences are all different
group-theory
finite-groups
modular-arithmetic
direct-product
Finding Symmetry Group $S_3$ in a function
abstract-algebra
group-theory
complex-analysis
finite-groups
functional-equations
Fibonacci cycles for finite groups
abstract-algebra
combinatorics
group-theory
elementary-number-theory
finite-groups
Set of all inner automorphisms is a normal subgroup
abstract-algebra
group-theory
finite-groups
If $|G|=36$ then $G$ has either a normal $2$-Sylow or a normal $3$-Sylow
abstract-algebra
group-theory
finite-groups
sylow-theory
For finite abelian groups, show that $G \times G \cong H \times H$ implies $G \cong H$
abstract-algebra
group-theory
finite-groups
abelian-groups
Group cohomology of finite groups
finite-groups
group-cohomology
Let $\varphi\in{\rm End}(G)$ s.t. $\exists n\ge 0$, $\ker(\varphi^n)=G$. If $\ker\varphi$ or $[G:{\rm Im}\varphi]$ is finite, then $G$ is finite
abstract-algebra
group-theory
finite-groups
group-homomorphism
Why is $\prod_{k = 1}^t p_k^{\alpha_k - 1}(p_k-1) = n \prod_{p\mid n} \left(1 - \frac {1}{p} \right)$?
group-theory
elementary-number-theory
finite-groups
proof-explanation
totient-function
Making a proof precise of "Aut$(Q_8)\cong S_4$"
abstract-algebra
group-theory
finite-groups
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