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arXiv · 1710.01777

Orbit groups

Quitzeh Morales Meléndez
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Abstract

In the paper "Aquino, C., Jim\'enez, R., Mijangos, M., Morales Mel\'endez, Q.: On Invariant (co)homology of a group, preprint" are introduced two groups generated by the orbits of an action of a group on another group by automorphisms. One is of group-theoretic nature and the other comes from homology of invariant group chains. In this note are given some properties of the first groups and is studied a natural homomorphism between these groups. More precisely, it is shown that this homomorphism is not injective nor surjective. A description of the kernel is given. Note: there was a previous version with an error in the construction. The error has been corrected now.

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Quitzeh Morales Meléndez. 2017-10-04. Orbit groups. https://arxiv.org/abs/1710.01777

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