Newbetuts
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New posts in group-actions
Two subgroups $H_1, H_2$ of a group $G$ are conjugate iff $G/H_1$ and $G/H_2$ are isomorphic
abstract-algebra
group-theory
group-actions
Does an equivalence of $G$-sets and $H$-sets imply an isomorphism of $G$ and $H$?
category-theory
group-actions
topos-theory
Difference of fixed points by subgroup action
group-theory
finite-groups
group-actions
Transitive action of a discrete group on a compact space
general-topology
group-theory
compactness
group-actions
Are symmetries necessary in group action?
group-theory
finite-groups
representation-theory
group-actions
symmetric-groups
Why is conjugacy as an equivalence relation special in groups?
abstract-algebra
group-theory
soft-question
group-actions
automorphism-group
Why is $|H \cdot gP|=1$?
group-theory
proof-explanation
group-actions
sylow-theory
Does conjugation imply equivariantly conjugation?
linear-algebra
group-theory
representation-theory
group-actions
$\mathbb{Z}_pH$-module
group-theory
finite-groups
modules
representation-theory
group-actions
A question about equivariance to 3D transformations using semi-direct and direct products.
group-theory
group-actions
semidirect-product
equivariant-maps
Elementary Combinatorial Proofs using group action
combinatorics
group-theory
graph-theory
group-actions
Let $H$ be a subgroup of $G$, and suppose that $G$ acts by multiplication over the set $X:=G/H$ of the left-hand side classes of $H$ over $G$.
group-theory
permutations
group-actions
What is the definition of the vector field which is generated by rotations of the circle
differential-geometry
group-actions
vector-fields
Grothendieck's Galois theory: fundamental theorem
category-theory
galois-theory
group-actions
Why a map is equivariant if and only if it is equivariant in the infinitesimal version?
differential-geometry
lie-groups
group-actions
Prove that $SL(2,\mathbb{R})$ acts transitively on the upper half plane
group-theory
lie-groups
group-actions
Euler characteristic expression in terms the number of fixed points of an $\mathbb{S}^1$ action
differential-topology
lie-groups
group-actions
symplectic-geometry
Clarification of notion of proper group action.
manifolds
lie-groups
topological-groups
group-actions
What about linearity makes it so useful?
linear-algebra
abstract-algebra
soft-question
group-actions
Orbits of vectors under the action of $\mathrm{GL}_n(\mathbb Q)$
linear-algebra
geometry
linear-transformations
group-actions
rational-numbers
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