On the orbits of a finite solvable primitive linear group
Yong Yang, Mengxi You
TL;DR
This paper improves the understanding of how many orbits a finite solvable primitive linear group can have, providing stronger bounds or results than previously established.
Contribution
It advances the theory by strengthening Seager's result on the orbit count of solvable primitive linear groups.
Findings
Enhanced bounds on the number of orbits
Improved theoretical understanding of group actions
Strengthened previous results by Seager
Abstract
In this paper, we strengthen a result of Seager regarding the number of orbits of a solvable primitive linear group.
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Taxonomy
TopicsFinite Group Theory Research · Matrix Theory and Algorithms · Advanced Topics in Algebra