Xingzhong Xu

activity

20172021

B

-groups

2 citations · 4 across the 9 of their papers we have counts for

collaborators

Showing 2017Show all

5 papers · 1 filter

math.GR2017

A note on Oliver's p-group conjecture

Xingzhong Xu

Let $S$ be a $p$ -group for an odd prime $p$ , Oliver proposed the conjecture that the Thompson subgroup $J (S)$ is always contained in the Oliver subgroup $X (S)$ . That mea…

math.GR2017

Elementary abelian subgroups in some special p-groups

Xingzhong Xu

Let $P$ be a finite $p$ -group and $p$ be an odd prime. Let $A_{p} (P)_{\geq 2}$ be a poset consisting of elementary abelian subgroups of rank at least 2. If the derived subgr…

math.GR2017★ 1 cited

A relation between $m_{G, N}$ and the Euler characteristic of the nerve space of some class poset of $G$

Heguo Liu, Xingzhong Xu, Jiping Zhang

Let $G$ be a finite group and $N ⊴ G$ with $∣ G : N ∣ = p$ for some prime $p$ . In this note, to compute $m_{G, N}$ directly, we construct a class poset $T_{C} (G)$ of $G$ f…

math.GR2017★ 2 cited

Bouc's conjecture on $B$ -groups

Xingzhong Xu, Jiping Zhang

Bouc proposed the following conjecture: a finite group $G$ is nilpotent if and only if its largest quotient $B$ -group $β (G)$ is nilpotent. And he has prove that this conjecture hol…

math.GR2017★ 1 cited

Fusion systems of blocks with nontrivial strongly closed subgroups

Heguo Liu, Xingzhong Xu, Jiping Zhang

In this paper, we find some exotic fusion systems which have non-trivial strongly closed subgroups, and we prove these fusion systems are also not realizable by p-blocks of finite…

A note on Oliver's p-group conjecture

Elementary abelian subgroups in some special p-groups

A relation between mG,N​ and the Euler characteristic of the nerve space of some class poset of G

Bouc's conjecture on B-groups

Fusion systems of blocks with nontrivial strongly closed subgroups

A relation between $m_{G, N}$ and the Euler characteristic of the nerve space of some class poset of $G$

Bouc's conjecture on $B$ -groups