Abstract
Let \(\alpha \) be a partial action of a group G on a ring S which has an enveloping action. Suppose that \((S,\alpha )\) is a partial Galois extension. We study partial Galois extensions inside \((S,\alpha )\). In particular, we derive some results on partial orbits and partial stabilizers and apply them to associate to each subgroup K of G certain partial Galois extensions inside \((S,\alpha )\) with partial actions of \(\alpha \) restricted to K.
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The first author was partially supported by the Ministry of Science and Technology of Taiwan under Grant MOST 104-2115-M-005-003.
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Communicated by A. Constantin.
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Kuo, JM., Szeto, G. Partial group actions and partial Galois extensions. Monatsh Math 185, 287–306 (2018). https://doi.org/10.1007/s00605-016-1009-7
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DOI: https://doi.org/10.1007/s00605-016-1009-7