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arXiv 2017-12-07 1 views

Sandwich Structures from Arbitrary Functions in Group Theory

Hawthorn, Ian

Original · EN

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

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