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New posts in finite-groups
(finitely generated finite by abelian) implies (abelian by finite)
group-theory
finite-groups
abelian-groups
group-extensions
After using Sylow Theorems, how can we say how many elements of order 5 might be there in a group of order 20? [duplicate]
abstract-algebra
group-theory
finite-groups
cyclic-groups
sylow-theory
$G$ simple group and there exists a subgroup of index $n$. Show that: $|G|$ divides $n!/2$
abstract-algebra
group-theory
finite-groups
permutations
Isomorphism between $U_{10}$ , $U_8$ , $U_5$
abstract-algebra
finite-groups
Is there something wrong with this question concerning Groups
matrices
group-theory
finite-groups
inverse
Conjugates and commutators for twisty puzzles -- so what?
group-theory
finite-groups
recreational-mathematics
rubiks-cube
Ordering finite groups by sum of order of elements
group-theory
finite-groups
non-capable groups and their direct products
abstract-algebra
group-theory
finite-groups
Applying Burnside's Lemma to a Permutational Problem.
combinatorics
group-theory
permutations
finite-groups
group-actions
Endomorphism algebra of irreducible module over a group algebra
abstract-algebra
finite-groups
representation-theory
A question about finite group acting on inputs and outputs of maps between vector spaces.
group-theory
vector-spaces
finite-groups
group-actions
Quaternion Group as Permutation Group
group-theory
finite-groups
permutations
If a finite group $G$ of order $n$ has at most one subgroup of each order $d\mid n$, then $G$ is cyclic
abstract-algebra
group-theory
finite-groups
proof-explanation
Let $G$ be a finite Abelian group that has exactly one subgroup for each divisor of $|G|$. How does this imply that $G$ is cyclic? [duplicate]
group-theory
finite-groups
abelian-groups
cyclic-groups
Platonic Solids
group-theory
finite-groups
polyhedra
solid-geometry
platonic-solids
Let $\phi:\Bbb{Z}_{20} \to \Bbb{Z}_{20}$ be an automorphism and $\phi(5)=5$. What are the possibilities of $\phi(x)$?
finite-groups
group-isomorphism
automorphism-group
Rotman introduction to theory of groups exercise
finite-groups
Groups where no elements commute except for the trivial cases
abstract-algebra
group-theory
finite-groups
Let $a$ be an element of order $n$ in a group $G$. If $a^m$ has order $n$, then $m$ and $n$ are relatively prime.
abstract-algebra
group-theory
finite-groups
proof-verification
Metric on a group
finite-groups
topological-groups
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