2 papers
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 be a nonabelian group. We say that has an abelian partition, if there exists a partition of into commuting subsets of , such that $|A_i|\…