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math.GR2026
Prime Graphs of Locally Torsion Ultragroups, Metanilpotent Groups, and -Solvable Groups
Alexa Renner
Given a group , the prime graph of , denoted , is the graph with vertex set the set of primes such that there exists an element of order in , and such that t…
math.GR2026
Prime Graphs of Infinite Groups
Alexa Renner
The prime graph of a finite group is the graph with vertex set the set of prime divisors of and an edge between vertices if and only if there…
math.GR2026
Braids on the Stranded Cellular Automata Model
Alexa Renner
The Stranded Cellular Automata (SCA) model is a grid of cells such that each cell can contain 0, 1, or 2 strands, together with two cellular automata that control when and how stra…
math.GR2026
Decidability of the Orbit Problem Over
Joshua Holden, Alexa Renner
The orbit problem is the problem of whether, given and an matrix , there exists an such that . In 1980, Kannan and…