Yong Yang

activity

20112026

most citedAbelian quotients and orbit sizes of finite groups

7 citations · 19 across the 37 of their papers we have counts for

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Showing 2019Show all

3 papers · 1 filter

math.GR2019

On the odd order composition factors of finite linear groups

Alexander Betz, Max Chao-Haft, Ting Gong +2

In this paper, we study the product of orders of composition factors of odd order in a composition series of a finite linear group. First we generalize a result by Manz and Wolf ab…

math.GR2019

Finite Permutation Groups with Few Orbits Under the Action on the Power Set

Alexander Betz, Max Chao-Haft, Ting Gong +3

We study the orbits under the natural action of a permutation group $G \subseteq S_{n}$ on the powerset $P ({1, \dots, n})$ . The permutation groups having exactly $n + 1$ o…

math.GR2019

Abelian subgroups, nilpotent subgroups, and the largest character degree of a finite group

Nguyen Ngoc Hung, Yong Yang

Let $H$ be an abelian subgroup of a finite group $G$ and $π$ the set of prime divisors of $∣ H ∣$ . We prove that $∣ H O_{π} (G) / O_{π} (G) ∣$ is bounded above by the largest character degree…