Golod-Shafarevich groups: a survey
arXiv:1206.0490 · doi:10.1142/S0218196712300010
Abstract
In this paper we survey the main results about Golod-Shafarevich groups and their applications in algebra, number theory and topology.
54 pages
Cited by in corpus (14)
- On pro- groups with quadratic cohomology
- The Tarski numbers of groups
- On the invariant factors of class groups in towers of number fields
- Golod-Shafarevich type theorems and potential algebras
- High-dimensional expanders from Kac--Moody--Steinberg groups
- Local Normal Forms of Noncommutative Functions
- Residually finite algorithmically finite groups, their subgroups and direct products
- Sklyanin algebras and a cubic root of 1
- A mnemonic for the graded-case Golod-Shafarevich inequality
- A remark on Golod--Shafarevich algebras
- On subgroups of right angled Artin groups with few generators
- The -Zassenhaus Filtration of a Free Profinite Group and Shuffle Relations
- Asymptotic growth patterns for class field towers
- On Hilbert -class fields and -towers of imaginary quadratic number fields