T. Foguel

activity

20022024

most citedOn p-nilpotency of finite groups?

1 citations · 2 across the 3 of their papers we have counts for

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math.GR2024

Solvabilizer Numbers of Finite Groups

Banafsheh Akbari, Tuval Foguel, Jack Schmidt

Consider a nonsolvable finite group G, where R(G) represents the solvable radical of G. For any element x in G, the solvabilizer of x in G, denoted by Sol_G(x), is defined as the s…

math.GR2020

Groups that have a Partition by Commuting Subsets

Tuval Foguel, Josh Hiller, Mark L. Lewis +1

Let $G$ be a nonabelian group. We say that $G$ has an abelian partition, if there exists a partition of $G$ into commuting subsets $A_{1}, A_{2}, \dots, A_{n}$ of $G$ , such that $|A_i|\…

math.GR2013★ 1 cited

On p-nilpotency of finite groups?

Baojun Li, Tuval Foguel

Let $H$ be a subgroup of a group $G$ . $H$ is said satisfying $Π$ -property in $G$ , if $∣ G / K : N_{G / K} (H K / K \cap L / K) ∣$ is a $π (H K / K \cap L / K))$ -number for any chief factor $L / K$ of $G$ ,…

math.GR2009

Uniquely 2-divisible Bol loops

Tuval Foguel, Michael Kinyon

Although any finite Bol loop of odd prime exponent is solvable, we show there exist such Bol loops with trivial center. We also construct finitely generated, infinite, simple Bruck…

math.GR2002★ 1 cited

On Twisted Subgroups and Bol Loops of Odd Order

Tuval Foguel, Michael K. Kinyon, J. D. Phillips

In the spirit of Glauberman's fundamental work in B-loops and Moufang loops, we prove Cauchy and strong Lagrange theorems for Bol loops of odd order. We also establish necessary co…