Finite subunitals of the Hermitian unitals

TL;DR

This paper proves that any finite subunital of a generalized hermitian unital is itself a hermitian unital, emphasizing the structural stability under subunitals and field extension embeddings.

Contribution

It establishes that finite subunitals of generalized hermitian unitals are necessarily hermitian, linking their structure to quadratic and separable field extensions.

Findings

Finite subunitals are hermitian unital structures.

Embedding of subunitals corresponds to quadratic field extensions.

Generalized hermitian unital with finite subunital originates from a separable field extension.

Abstract

Every finite subunital of any generalized hermitian unital is itself a hermitian unital; the embedding is given by an embedding of quadratic field extensions. In particular, a generalized hermitian unital with a finite subunital is a hermitian one (i.e., it originates from a separable field extension).