2 papers
math.GR2026
A Counterexample to a Conjecture of Moreto
Gang Chen, Wenhua Zhao
As an extension of the It^o-Michler theorem to the nonabelian or nonnormal Sylow subgroups, A. Moreto raised the following conjecture: let G be a finite group and P a Sylow p-subgr…
math.GR2026
An affirmative answer to a question on connectivity of p-subgroup posets with irreducible characters
Gang Chen, Wenhua Zhao
Let be a prime, a nonnegative integer, and G a finite p-group with dividing . Let I be the intersection of all subgroups of order in . It is pro…