Organization owners control whether repository administrators can rename branches that are targeted by one or more branch rulesets. For existing organizations, this setting is off by default. For newly created organizations, this setting is on by default.
When this setting is enabled, repository administrators can rename these branches, provided the new branch name is still targeted by all the same organization rulesets as the current branch name. This ensures that rulesets cannot be circumvented through branch renaming.
Organization administrators can rename branches targeted by organization rulesets without restriction.
Nota:
Even with this setting enabled, changing the default branch of a repository still requires an organization administrator when organization rulesets are in play.
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En la esquina superior derecha de GitHub, haz clic en la foto del perfil y luego en Your organizations.
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Seleccione una organización haciendo clic en ella.
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Debajo del nombre de la organización, haz clic en Settings. Si no puedes ver la pestaña "Configuración", selecciona el menú desplegable y, a continuación, haz clic en Configuración.

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En la sección "Access" de la barra lateral, haz clic en Member privileges.
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Under "Branch renames", select Allow repository administrators to rename branches protected by organization rules.
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Click Save.