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New posts in group-isomorphism
Prove this isomorphism about semidirect product $((\oplus_1^k \mathbb{Z}/2) \oplus \mathbb{Z}/n) \rtimes_{\varphi} \mathbb{Z}/2$.
abstract-algebra
group-theory
group-isomorphism
semidirect-product
Difference between $\mathbb{Z}/n\mathbb{Z}$ and $\mathbb{Z}_n$
abstract-algebra
integers
group-isomorphism
quotient-group
Does there exist a pair of infinite fields, the additive group of one isomorphic to the multiplicative group of the other?
field-theory
group-isomorphism
positive-characteristic
Intuition about the second isomorphism theorem
abstract-algebra
group-theory
intuition
group-isomorphism
How to prove that $\Bbb Z_{p^2}$ is not isomorphic to $\Bbb Z_{p} \oplus\Bbb Z_{p}$ as a $\Bbb Z$-module [duplicate]
abstract-algebra
group-theory
finite-groups
group-isomorphism
groups with same number of elements of each order
group-theory
finite-groups
group-isomorphism
Convert angle (radians) to a heading vector?
calculus
algebra-precalculus
trigonometry
vector-spaces
group-isomorphism
If $G$ is complete, then the holomorph of $G$ is isomorphic to $G\times G$.
group-theory
group-isomorphism
direct-product
holomorph
complete-groups
What does it mean when two Groups are isomorphic?
abstract-algebra
group-theory
soft-question
group-isomorphism
Prove that the additive groups $\mathbb{Z}$ and $\mathbb{Q}$ are not isomorphic.
abstract-algebra
group-theory
proof-verification
group-isomorphism
Isomorphism $f$ preserves the order of an element?
abstract-algebra
group-theory
group-isomorphism
Showing ${\rm Aut}(D_{2^n})\cong{\rm Aut}(Q_{2^n})$ for $n\ge 4$.
group-theory
group-isomorphism
quaternions
automorphism-group
dihedral-groups
When does the isomorphism $G\simeq \ker(\phi)\times \operatorname{im}(\phi)$? hold?
group-theory
group-isomorphism
Distinguishing non-isomorphic groups with a group-theoretic property
group-theory
logic
reference-request
model-theory
group-isomorphism
Amazing isomorphisms [closed]
abstract-algebra
group-theory
soft-question
group-isomorphism
exceptional-isomorphisms
Group of positive rationals under multiplication not isomorphic to group of rationals
group-theory
abelian-groups
group-isomorphism
Are $(\mathbb{R},+)$ and $(\mathbb{C},+)$ isomorphic as additive groups?
group-theory
abelian-groups
group-isomorphism
Isomorphism via birational equivalence
abstract-algebra
group-theory
algebraic-geometry
group-isomorphism
Define a binary operation on {e,(12)}×{e,(123),(132)} so that it becomes isomorphic to $S_3$ [closed]
abstract-algebra
group-theory
group-isomorphism
binary-operations
direct-product
Looking for a simple proof that groups of order $2p$ are up to isomorphism $\Bbb{Z}_{2p}$ and $D_p$ for prime $p>2$.
group-theory
finite-groups
cyclic-groups
group-isomorphism
dihedral-groups
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