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Show that the set of vectors defined as directed line segments does not form a group...

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List Question

Proving that a given group action is Transitive.

Understanding Groups Actions and Homomorphisms

Equidecomposability and Tarski's theorem

counterexample showing that Maschke's Theorem does not hold if characteristic divides group order

Free circle action from a torus

If $G$ acts on $X$ then $\psi: X\to X$ is a bijection

Homomorphism induced by group action

$GL_2(\mathbb{Z}_2)$ acting on $\mathbb{Z}_2 \times \mathbb{Z}_2$

If $G$ acts such that each nontrivial element fixes exactly $n$ points or none, then $|\Omega| \equiv n \pmod{|G_{\alpha}|}$

low-dim unitary groups and their actions

Action of permutation group on set of numbers is transitive

Action of GL(2n,R) on set of linear complex structures

Show that the set of vectors defined as directed line segments does not form a group...

Show that, for each finite $G$-set ($G$-action) on $X$, we have $|X| \equiv |X^G| \pmod n$

Show that $P$ contains a subgroup of ordre $p^t$ - Use Cauchy's Theorem and the proposition $7.2$

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