1 citations · 1 across the 4 of their papers we have counts for
6 papers
On the local rank of fusion systems
Jun Liao, Heguo Liu, Baoshan Wang +1
In this paper we define the notion of local rank for fusion systems so as to reformulate the Alperin's weight conjecture in the framework of block fusion systems following the work…
A weak form of a conjecture on vanishing of group cohomology for blocks
Heguo Liu, Xingzhong Xu, Jiping Zhang
In this paper, we get an elementary and important lemma(See Lemma 3.2) which is about pushout and pullback of modules. And we prove a weak form of a long open conjecture on vanishi…
Some results on a question of M. Newman on isomorphic subgroups of solvable groups
Heguo Liu, Xingzhong Xu, Jiping Zhang
In this paper, we focus on a question of M. Newman on isomorphic subgroups of solvable groups. We get a reduction theorem of this question: for each prime q, assume that this quest…
A bound for Hall's criterion for nilpotence in semi-abelian categories
Heguo Liu, Xingzhong Xu, Jiping Zhang
In this paper, we focus on Hall's criterion for nilpotence in semi-abelian categories, and we improve the bound of Gray's main theorem of [3,Theorem 3.4] (see Main Theorem). And th…
A topological interpretation about for finite group with normal subgroup
Heguo Liu, Xingzhong Xu, Jiping Zhang
Let be a finite group and . In this note, we construct a class poset of for some cyclic subgroup of . And we find a relation between and the Eul…
A relation between and the Euler characteristic of the nerve space of some class poset of
Heguo Liu, Xingzhong Xu, Jiping Zhang
Let be a finite group and with for some prime . In this note, to compute directly, we construct a class poset of f…