I'm reading papers on the unit group of a finite dimensional algebra over locally finie field and I got stuck in locally finite field. Anyone could give me some reference books about locally finite fields?
2026-03-26 18:49:53.1774550993
A question on locally finite fields
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A locally finite field is an algebraic extension of $\mathbb{F}_p$. Equivalently, it is any field isomorphic to a subfield of $\bar{\mathbb{F}_p}$, the algebraic closure of $\mathbb{F}_p$.
I'm not aware of books specifically about locally finite fields, but there's a section dedicated to their properties in Dixon's book "Sylow Theory, Formations, and Fitting Classes in Locally Finite Groups" (Section 3.3).