RT Journal Article T1 The group of strong Galois objects associated to a cocommutative Hopf quasigroup A1 Alonso Álvarez, José Nicanor A1 Fernández Vilaboa, José Manuel A1 González Rodríguez, Ramón K1 Monoidal category K1 Unital magma K1 Hopf quasigroup K1 (strong) Galois H-object K1 Galois group K1 Normal basis AB Let H be a cocommutative faithfully flat Hopf quasigroup in a strict symmetric monoidal category withequalizers. In this paper we introduce the notion of (strong) Galois H-object and we prove that the set ofisomorphism classes of (strong) Galois H-objects is a (group) monoid which coincides, in the Hopf algebra setting,with the Galois group of H-Galois objects introduced by Chase and Sweedler PB Korean Mathematical Society SN 0304-9914 YR 2017 FD 2017 LK http://hdl.handle.net/10347/17664 UL http://hdl.handle.net/10347/17664 LA eng NO Alvarez, J., Rodriguez, R., & Vilaboa, J. (2017). THE GROUP OF STRONG GALOIS OBJECTS ASSOCIATED TO A COCOMMUTATIVE HOPF QUASIGROUP. Journal Of The Korean Mathematical Society, 54(2), 517-543. doi: 10.4134/jkms.j160118 NO The authors were supported by Ministerio de Economía y Competitividad (Spain) and by Feder founds. Project MTM2013-43687-P: Homología, homotopía e invariantes categóricos en grupos y álgebras no asociativas DS Minerva RD 23 abr 2026