Alexa Renner

activity

20242026

collaborators

8 papers

math.GR2026

Prime Graphs of Locally Torsion Ultragroups, Metanilpotent Groups, and $T$ -Solvable Groups

Alexa Renner

Given a group $G$ , the prime graph of $G$ , denoted $Γ (G)$ , is the graph with vertex set the set of primes $p$ such that there exists an element of order $p$ in $G$ , and such that t…

math.GR2026

Prime Graphs of Infinite Groups

Alexa Renner

The prime graph of a finite group $G$ is the graph $Γ (G)$ with vertex set the set of prime divisors $π (G)$ of $∣ G ∣$ and an edge between vertices $p, q \in π (G)$ 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 $Q (X)$

Joshua Holden, Alexa Renner

The orbit problem is the problem of whether, given $x, y \in Q^{n}$ and an $n \times n$ matrix $A$ , there exists an $i \in N$ such that $A^{i} x = y$ . In 1980, Kannan and…

math.DS2026

Gliders on the Stranded Cellular Automata Model

Alexa Renner

The Stranded Cellular Automata (SCA) model consists of a grid of cells which can each contain between zero and two strands apiece and two turning rules that control when strands tu…

math.GR2025

Criteria for Classifying Prime Graphs of PSL(2, q)-Solvable Groups

Thomas Michael Keller, Zachary Martin, Alexa Renner +2

For a finite group $G$ , the prime graph $Γ (G)$ (also known as Gruenberg-Kegel graph) is defined to be the graph where the vertices are the primes that divide $∣ G ∣$ such that two ve…

math.OC2025

Central Path Art

Thor Catteau, Benjamin Glancy, Allen Holder +4

The central path revolutionized the study of optimization in the 1980s and 1990s due to its favorable convergence properties, and as such, it has been investigated analytically, al…

math.GR2024

Classification of the Prime Graphs of $Sz (8)$ -, $Sz (32)$ -, and $PSL (2, 2^{5})$ -Solvable Groups

Thomas Michael Keller, Zachary Martin, Alexa Renner +2

For a finite group $G$ , the vertices of the prime graph $Γ (G)$ are the primes that divide $∣ G ∣$ , and two vertices $p$ and $q$ are connected by an edge if there is an element of ord…

Prime Graphs of Locally Torsion Ultragroups, Metanilpotent Groups, and T-Solvable Groups

Prime Graphs of Infinite Groups

Braids on the Stranded Cellular Automata Model

Decidability of the Orbit Problem Over Q(X)

Gliders on the Stranded Cellular Automata Model

Criteria for Classifying Prime Graphs of PSL(2, q)-Solvable Groups

Central Path Art

Classification of the Prime Graphs of Sz(8)-, Sz(32)-, and PSL(2,25)-Solvable Groups

Prime Graphs of Locally Torsion Ultragroups, Metanilpotent Groups, and $T$ -Solvable Groups

Decidability of the Orbit Problem Over $Q (X)$

Classification of the Prime Graphs of $Sz (8)$ -, $Sz (32)$ -, and $PSL (2, 2^{5})$ -Solvable Groups