Newbetuts
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New posts in solvable-groups
No group has commutator isomorphic to S_4
finite-groups
symmetric-groups
simple-groups
solvable-groups
When does a formula for the roots of a polynomial exist?
abstract-algebra
polynomials
galois-theory
solvable-groups
Show that a group of order $p^2q^2$ is solvable
abstract-algebra
group-theory
solvable-groups
Free groups in some classes?
group-theory
free-groups
solvable-groups
$G$ solvable $\implies$ composition factors of $G$ are of prime order.
abstract-algebra
group-theory
finite-groups
solvable-groups
Group G Preserving a Flag is Solvable
linear-algebra
group-theory
vector-spaces
infinite-groups
solvable-groups
Why are solvable groups important?
group-theory
soft-question
solvable-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
Solvable and nilpotent groups, normal series and intuition
group-theory
soft-question
intuition
sylow-theory
solvable-groups
What can be said about two groups with isomorphic derived factors?
abstract-algebra
group-theory
solvable-groups
Why is the group of unit upper triangular matrices solvable?
group-theory
solvable-groups
Problem about solvable groups
group-theory
finite-groups
sylow-theory
solvable-groups
Reconciling Different Definitions of Solvable Group
abstract-algebra
group-theory
finite-groups
solvable-groups
If a finite group $G$ is solvable, is $[G,G]$ nilpotent?
group-theory
finite-groups
solvable-groups
How can I tell if $x^5 - (x^4 + x^3 + x^2 + x^1 + 1)$ is/is not part of the solvable group of polynomials?
polynomials
solvable-groups
Why does "solvability" for groups suggest something about the solution of polynomials?
abstract-algebra
group-theory
polynomials
galois-theory
solvable-groups
There exist infinite solvable $p$-groups with trivial centre. (Use a hint.)
group-theory
p-groups
infinite-groups
solvable-groups
wreath-product
Solvable equivalent to nilpotency of first derived Lie algebra?
lie-algebras
solvable-groups
Understanding non-solvable algebraic numbers
polynomials
galois-theory
roots
irrational-numbers
solvable-groups
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