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Functions between groups with the property that all function con- jugates areinverse preserving are called sandwich morphisms. These maps pre- serve astructure within the group known as the sandwich structure. Sandwich structuresare left distributive idempotent left involutary magmas. These pro- vide ageneralisation of groups which we call a sandwich. This paper exploressandwiches and their relationship to groups.

Sandwich Structures from Arbitrary Functions in Group Theory