Shengkui Ye

activity

20112026

most citedEuler characteristics and actions of automorphism groups of free groups

13 citations · 43 across the 22 of their papers we have counts for

collaborators

Showing math.ATShow all

5 papers · 1 filter

math.AT2017★ 13 cited

Euler characteristics and actions of automorphism groups of free groups

Shengkui Ye

Let $M^{r}$ be a connected orientable manifold with the Euler characteristic $χ (M) \neq \equiv 0 mod 6$ . Denote by $SAut (F_{n})$ the unique subgroup of index t…

math.AT2017

Vanishing of $L^{2}$ -Betti numbers and failure of acylindrical hyperbolicity of matrix groups over rings

Feng Ji, Shengkui Ye

Let $R$ be an infinite commutative ring with identity and $n \geq 2$ be an integer. We prove that for each integer $i = 0, 1, \dots, n - 2,$ the $L^{2}$ -Betti number $b_{i}^{(2)} (G) = 0,$ …

math.AT2016★ 1 cited

The action of matrix groups on aspherical manifolds

Shengkui Ye

Let $SL_{n} (Z)$ $(n \geq 3)$ be the special linear group and $M^{r}$ be a closed aspherical manifold. It is proved that when $r < n,$ a group action of $\mathrm{SL}_…

math.AT2015★ 2 cited

Partial Euler Characteristic, Normal Generations and the stable D(2) problem

Feng Ji, Shengkui Ye

We study the interplay among Wall's $D (2)$ problem, normal generation conjecture (the Wiegold Conjecture) of perfect groups and Swan's problem on partial Euler characteristic and d…

math.AT2014

Trivial Unit conjecture and Homotopy Theory

Shengkui Ye

A homotopy theoretic description is given for trivial unit conjecture in the group ring ZG.

Euler characteristics and actions of automorphism groups of free groups

Vanishing of L2-Betti numbers and failure of acylindrical hyperbolicity of matrix groups over rings

The action of matrix groups on aspherical manifolds

Partial Euler Characteristic, Normal Generations and the stable D(2) problem

Trivial Unit conjecture and Homotopy Theory

Vanishing of $L^{2}$ -Betti numbers and failure of acylindrical hyperbolicity of matrix groups over rings