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New posts in abstract-algebra
What are Free Objects?
abstract-algebra
reference-request
soft-question
About the Center of the Special Linear Group $SL(n,F)$
abstract-algebra
group-theory
cyclic-groups
roots-of-unity
If $N\lhd G$ then $n_p(G/N) \leq n_p(G)$.
abstract-algebra
sylow-theory
An example of prime ideal $P$ such that $\bigcap_{n=1}^{\infty}P^n$ is not prime
abstract-algebra
ring-theory
commutative-algebra
maximal-and-prime-ideals
Proof of Zassenhaus Lemma
abstract-algebra
group-theory
For any rng $R$, can we attach a unity?
abstract-algebra
ring-theory
rngs
A condition for a subgroup of a finitely generated free abelian group to have finite index
abstract-algebra
group-theory
abelian-groups
Prove that $G \cong\mathrm{Inn}(G)$ if and only if $Z(G)$ is trivial
abstract-algebra
group-theory
Explanation why an abelian tower admits a cyclic refinement
abstract-algebra
group-theory
finite-groups
abelian-groups
cyclic-groups
Harris' definition of quotient of a variety, what does he mean with "doing something stupid"
abstract-algebra
algebraic-geometry
Finding the order of the automorphism group of the abelian group of order 8.
linear-algebra
abstract-algebra
group-theory
finite-groups
abelian-groups
Isomorphism between $E_8$ lattice and lattice defined by Extended Hamming Code
linear-algebra
abstract-algebra
combinatorics
coding-theory
Classify all groups containing isomorphic copy of $\mathbb{Z}$ of index $2$.
abstract-algebra
group-theory
infinite-groups
group-extensions
What are the one-parameter subgroups of GL?
abstract-algebra
group-theory
matrices
reference-request
lie-groups
Is a finitely generated torsion-free module over a UFD necessarily free?
abstract-algebra
If a polynomial ring is a free module over some subring, is that subring itself a polynomial ring?
abstract-algebra
polynomials
ring-theory
commutative-algebra
free-modules
Galois group of $x^3 + x^2 - 2x - 1$.
abstract-algebra
galois-theory
The number of subgroups of index two in $G$
abstract-algebra
group-theory
Are the Groups having all subgroups of same order conjugate classified?
abstract-algebra
group-theory
finite-groups
Analogue for simple modules in vector space setting
linear-algebra
abstract-algebra
modules
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