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

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3 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.GT2017★ 7 cited

Symmetries of flat manifolds, Jordan property and the general Zimmer program

Shengkui Ye

We obtain a sufficient and necessary condition for a finite group to act effectively on a closed flat manifold. Let \ $G = E_{n} (R)$ , $E U_{n} (R, Λ),$ $SAut (F_{n})$ or $\mathr…

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 $b_{i}^{(2)} (G) = 0,$ …

Euler characteristics and actions of automorphism groups of free groups

Symmetries of flat manifolds, Jordan property and the general Zimmer program

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

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