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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math.GR2026

The prime graph complements of $A_{11}$ - and $A_{13}$ -solvable groups

Logan Abounader, Austin Bell, April Beun +3

We study prime graph complements of $A_{n}$ -solvable groups, focusing on the cases $A_{11}$ and $A_{13}$ . These provide the first classifications of $T$ …

math.GR2026

On the number of conjugacy classes of finite solvable groups of order divisible by $p^{2}$

Thomas Michael Keller

In 2003, Héthelyi and Külshammer proved that if $G$ is a finite solvable group and $p$ is a prime such that $p^{2}$ divides $∣ G ∣$ , then $k (G) \geq (49 p + 1) /60$ , and they constructed an…

The prime graph complements of A11​- and A13​-solvable groups

On the number of conjugacy classes of finite solvable groups of order divisible by p2

The prime graph complements of $A_{11}$ - and $A_{13}$ -solvable groups

On the number of conjugacy classes of finite solvable groups of order divisible by $p^{2}$