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New posts in group-isomorphism
Prove that $\mathbb{Q}[\sqrt{2}]=a+b\sqrt{2}$ is isomorphic to $\mathbb{Q}[x]/(x^2-2)$.
abstract-algebra
ring-theory
group-isomorphism
If $H$ is a subgroup of a finite abelian group $G$, then $G$ has a subgroup that is isomorphic to $G/H$.
group-theory
abelian-groups
group-isomorphism
quotient-group
direct-product
$SL_2(\mathbb Z_3)/Z(SL_2(\mathbb Z_3)) \cong A_4$
group-theory
symmetric-groups
group-isomorphism
exceptional-isomorphisms
Isomorphisms preserve cyclic
group-isomorphism
Need isomorphism theorem intuition
abstract-algebra
group-isomorphism
How to check in GAP whether two groups are isomorphic
group-theory
group-isomorphism
gap
The multiplicative groups $\mathbb{Q}^\ast$ and $\mathbb{R}^\ast$ are not isomorphic [duplicate]
group-theory
alternative-proof
group-isomorphism
How we can find the symmetric group with least $n$ whose subgroup of it is isomorphic to $G$?
group-theory
symmetric-groups
group-isomorphism
Listing methods to prove that two groups are not isomorphic
group-theory
big-list
group-isomorphism
Show that, for every $n$, $A_{n+2}$ has a subgroup isomorphic to $S_n$
abstract-algebra
group-theory
symmetric-groups
group-isomorphism
Why choose $ab$ and $ab^2$ for group with $6$ elements?
group-theory
finite-groups
proof-explanation
symmetric-groups
group-isomorphism
Is correct to say $H\times K$ is a subgroup of $G$ and its order is $q$? [closed]
abstract-algebra
group-theory
group-isomorphism
Order 12 group with 3 generators, can I reduce to 2 generators?
group-theory
group-isomorphism
quaternions
cayley-graphs
Relationship between Spin(3), SU(2), unit quaternions, and SO(3)
group-theory
group-isomorphism
quaternions
On $\ker\chi $ , $\: \chi :{\rm Gal}(E,F)\rightarrow S_n$
abstract-algebra
galois-theory
symmetric-groups
group-isomorphism
Is it possible that pair of isomorphic subgroups of finite group is conjugate in some larger group
abstract-algebra
group-theory
group-isomorphism
group-presentation
Prove there isn't a group $G$ that satisfy ${\rm Aut}(G) \cong \mathbb{Z}$ [duplicate]
abstract-algebra
group-theory
group-isomorphism
automorphism-group
Is the Dihedral Group of order $24$ isomorphic to the Symmetric Group on $4$ elements? [closed]
abstract-algebra
group-theory
finite-groups
group-isomorphism
Are continuous maps "weaker" than other morphisms?
general-topology
continuity
category-theory
group-isomorphism
morphism
An isomorphism from $GL_{2}(\mathbb{F_{2}})$ to $S_{3}$
abstract-algebra
group-isomorphism
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