Algebraic Topology Variations of Prime Order Automorphisms with Applications
DOI:
https://doi.org/10.17605/OSF.IO/SGR28Keywords:
Regular Automorphism, Complex Numbers, Centralizers, Automorphisms, JacobiansAbstract
Simple polarized abelian kinds of odd integer dimensions have cyclic automorphism groups across Galois field. To create completely simple polarized algebraic variations of prime dimensions across finite fields, with a cyclic group of maximal order as their automorphism group.In this work, we focus on polarized Abelian types with an automorphism of prime order s>2. Convincedusual requirements on the algebraic expressions of its action on first-order differentials imply that such polarized varieties aren't Jacobians of curvatures.There has been a lot of effort put into estimating the size of automorphism groups of broad categories. The latest articles, as well as the references they include, give a wealth of information on this subject..
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