R. Camina

activity

20102025

most citedThe influence of conjugacy class sizes on the structure of finite groups: a survey

1 citations · 2 across the 12 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.GR2020

Restrictions on sets of conjugacy class sizes in arithmetic progressions

Alan R. Camina, Rachel D. Camina

We continue the investigation, that began in [3] and [4], into finite groups whose set of nontrivial conjugacy class sizes form an arithmetic progression. Let $G$ be a finite group…

math.GR2020

Word problems for finite nilpotent groups

Rachel D. Camina, Ainhoa Iniguez, Anitha Thillaisundaram

Let $w$ be a word in $k$ variables. For a finite nilpotent group $G$ , a conjecture of Amit states that $N_{w} (1) \geq ∣ G ∣^{k - 1}$ , where $N_{w} (1)$ is the number of $k$ -tuples $(g_1,...,…

math.GR2020

On solvable groups with one vanishing class size

Mariagrazia Bianchi, Rachel D. Camina, Mark L. Lewis +1

Let $G$ be a finite group, and let cs $(G)$ be the set of conjugacy class sizes of $G$ . Recalling that an element $g$ of $G$ is called a \emph{vanishing element} if there exists an…