Heguo Liu

activity

20172024

most citedFusion systems of blocks with nontrivial strongly closed subgroups

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.GR2024

Criteria for nilpotency of fusion systems

Jie Jian, Jun Liao, Heguo Liu

Let $p$ be an odd prime and let $F$ be a fusion system over a finite $p$ -group $P$ . A fusion system $F$ is said to be nilpotent if $\mathcal{F}=\mathcal{F}_{P}(…

math.GR2024

A class of finite $p$ -groups and the normalized unit groups of group algebras

Yulei Wang, Heguo Liu

Let $p$ be a prime and $F_{p}$ be a finite field of $p$ elements. Let $F_{p} G$ denote the group algebra of the finite $p$ -group $G$ over the field $F_{p}$ and…

math.GR2023

The unitary subgroups of group algebras of a class of finite $2$ -groups with derived subgroup of order $2$

Yulei Wang, Heguo Liu

Let $p$ be a prime and $F$ be a finite field of characteristic $p$ . Suppose that $F G$ is the group algebra of the finite $p$ -group $G$ over the field $F$ . Let $V (F G)$ denote the gr…

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…

Criteria for nilpotency of fusion systems

A class of finite p-groups and the normalized unit groups of group algebras

The unitary subgroups of group algebras of a class of finite 2-groups with derived subgroup of order 2

Fusion systems of blocks with nontrivial strongly closed subgroups

A class of finite $p$ -groups and the normalized unit groups of group algebras

The unitary subgroups of group algebras of a class of finite $2$ -groups with derived subgroup of order $2$