◍wovepaper
SearchResearchersInstitutions
Sign in
math.GRJun 3, 2012
40
citations (OpenAlex)
authors
  • Mikhail Ershov
institutions
  • University of Virginia
arXiv abstractPDF
paper

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-p 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 p-Zassenhaus Filtration of a Free Profinite Group and Shuffle Relations
  • Asymptotic growth patterns for class field towers
  • On Hilbert 2-class fields and 2-towers of imaginary quadratic number fields
◍wovepaper

Papers, researchers and institutions, woven together.

Explore
  • Search
  • Researchers
  • Institutions
Account
  • Library
  • Chat
Data
  • arXiv.org
  • Semantic Scholar
  • OpenAlex
  • Latest RSS
AboutContactPrivacyDevelopersllms.txtopenapi.json
Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.