## Homology, Homotopy and Applications

### On higher nil groups of group rings

Daniel Juan-Pineda

#### Abstract

Let $G$ be a finite group and $mathbb{Z}[G]$ its integral group ring. We prove that the nil groups $N^j K_2 \mathbb{Z}[G])$ do not vanish for all $j \geq 1$ and for a large class of finite groups. We obtain from this that the iterated nil groups $N^j K_i (\mathbb{Z}[G])$ are also nonzero for all $i \geq 2, j \geq i - 1$

#### Article information

Source
Homology Homotopy Appl., Volume 9, Number 2 (2007), 95-100.

Dates
First available in Project Euclid: 23 January 2008

https://projecteuclid.org/euclid.hha/1201127332

Mathematical Reviews number (MathSciNet)
MR2366944

Zentralblatt MATH identifier
1123.19001

Keywords
K-theory nil groups

#### Citation

Juan-Pineda, Daniel. On higher nil groups of group rings. Homology Homotopy Appl. 9 (2007), no. 2, 95--100. https://projecteuclid.org/euclid.hha/1201127332