A note on fixed point free automorphisms of groups related to finite fields
Yong-Bin Li, Jing-Zhong Zhang
TL;DR
This paper investigates fixed point free automorphisms of groups related to finite fields, expanding beyond semi-scalar automorphisms and providing new results in their characterization.
Contribution
It introduces novel results for identifying fixed point free automorphisms of groups associated with finite fields, extending previous work on semi-scalar automorphisms.
Findings
New criteria for fixed point free automorphisms
Broader class of automorphisms analyzed
Enhanced understanding of automorphism structures
Abstract
In this paper, we are not limited to considering semi-scalar automorphisms of G as Lindsay N. Childs in 2012 which is a specific case of Aut(G). Some new results in determining the fixed point free automorphisms of G are developed.
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Taxonomy
TopicsCooperative Communication and Network Coding · Finite Group Theory Research · Coding theory and cryptography