List questions from group-actions

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Continuity of a group homomorphism $\beta\colon G\to\text{Aut}(C_{0}(X))$.

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Lifting criterion for quotient spaces of non-free group actions

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On the group action $\psi: X \times \Bbb R^*_+ \to X$

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Show irreducibility of polynomial representation of $SU(2)$

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The Natural Action of the Fundamental Group $\pi_1(M,p_0)$ on the Universal Covering $\widetilde{M}$

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Can we interpret the scalar multiplication in a vector space as a group action of the field onto the set of vectors?

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Dimension of subspace spanned by group orbit

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Proof of $\operatorname{Aut}(C_q)\cong C_{q-1}$ by group action?

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A non-abelian simple group cannot act non-trivially on a set containing less than $5$ elements.

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Have to analyze two statements about group actions and determine which of them is true.

Published on 12 Aug 2021 - 13:39

354

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Orbit-Stabilizer-Theorem and colourings of the cube

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Can groups be irreps of themselves?

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List Question

Can we characterize a free action of a group scheme using $S$-points?

The smooth action of $\mathbb{Z}$ on $\mathbb{R} \times F$ where $F$ is a manifold

Continuity of a group homomorphism $\beta\colon G\to\text{Aut}(C_{0}(X))$.

Lifting criterion for quotient spaces of non-free group actions

On the group action $\psi: X \times \Bbb R^*_+ \to X$

Show irreducibility of polynomial representation of $SU(2)$

The Natural Action of the Fundamental Group $\pi_1(M,p_0)$ on the Universal Covering $\widetilde{M}$

Can we interpret the scalar multiplication in a vector space as a group action of the field onto the set of vectors?

Dimension of subspace spanned by group orbit

Proof of $\operatorname{Aut}(C_q)\cong C_{q-1}$ by group action?

A non-abelian simple group cannot act non-trivially on a set containing less than $5$ elements.

Have to analyze two statements about group actions and determine which of them is true.

Orbit-Stabilizer-Theorem and colourings of the cube

Are some irreducible representations redundant?

Can groups be irreps of themselves?

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