T. Keller

activity

20232026

most citedPrime divisors and the number of conjugacy classes of finite groups

5 citations · 5 across the 8 of their papers we have counts for

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Showing 2024Show all

3 papers · 1 filter

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…

math.GR2024

Classifying prime graphs of finite groups -- a methodical approach

Thomas Michael Keller, Gavin Pettigrew, Saskia Solotko +1

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 and only if there is an el…

math.GR2024

More on Landau's theorem and Conjugacy Classes

Burcu Çınarcı, Thomas Michael Keller, Attila Maróti +1

In this paper we present two new results on the number of certain conjugacy classes of a finite group. For a finite group $G$ , let $n (G)$ be the maximum of $k_{p} (G)$ taken over al…

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

Classifying prime graphs of finite groups -- a methodical approach

More on Landau's theorem and Conjugacy Classes

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