Local-global invariants of finite and infinite groups: Around Burnside from another side

Boris Kunyavskiǐ

doi:10.1016/j.exmath.2013.06.004

Local-global invariants of finite and infinite groups: Around Burnside from another side

Boris Kunyavskiǐ

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

This expository essay is focused on the Shafarevich-Tate set of a group G. Since its introduction for a finite group by Burnside, it has been rediscovered and redefined more than once. We discuss its various incarnations and properties as well as relationships (some of them conjectural) with other local-global invariants of groups.

Original language	English
Pages (from-to)	256-273
Number of pages	18
Journal	Expositiones Mathematicae
Volume	31
Issue number	3
DOIs	https://doi.org/10.1016/j.exmath.2013.06.004
State	Published - 2013

Bibliographical note

Funding Information:
This research was supported by the Israel Science Foundation , grant 1207/12 . The author was supported in part by the Minerva Foundation through the Emmy Noether Research Institute of Mathematics . This paper was mainly written during several visits to the MPIM (Bonn) and NCTS (Taipei) in 2008–2012. Support of these institutions is gratefully acknowledged.

Keywords

Outer automorphisms of a group
Primary
Secondary
Shafarevich-Tate set

Access to Document

10.1016/j.exmath.2013.06.004

Cite this

@article{4740cbdfd9014ddd86dabaec5c36b44b,

title = "Local-global invariants of finite and infinite groups: Around Burnside from another side",

abstract = "This expository essay is focused on the Shafarevich-Tate set of a group G. Since its introduction for a finite group by Burnside, it has been rediscovered and redefined more than once. We discuss its various incarnations and properties as well as relationships (some of them conjectural) with other local-global invariants of groups.",

keywords = "Outer automorphisms of a group, Primary, Secondary, Shafarevich-Tate set",

author = "Boris Kunyavskiǐ",

year = "2013",

doi = "10.1016/j.exmath.2013.06.004",

language = "אנגלית",

volume = "31",

pages = "256--273",

journal = "Expositiones Mathematicae",

issn = "0723-0869",

publisher = "Elsevier GmbH",

number = "3",

}

TY - JOUR

T1 - Local-global invariants of finite and infinite groups

T2 - Around Burnside from another side

AU - Kunyavskiǐ, Boris

PY - 2013

Y1 - 2013

N2 - This expository essay is focused on the Shafarevich-Tate set of a group G. Since its introduction for a finite group by Burnside, it has been rediscovered and redefined more than once. We discuss its various incarnations and properties as well as relationships (some of them conjectural) with other local-global invariants of groups.

AB - This expository essay is focused on the Shafarevich-Tate set of a group G. Since its introduction for a finite group by Burnside, it has been rediscovered and redefined more than once. We discuss its various incarnations and properties as well as relationships (some of them conjectural) with other local-global invariants of groups.

KW - Outer automorphisms of a group

KW - Primary

KW - Secondary

KW - Shafarevich-Tate set

UR - http://www.scopus.com/inward/record.url?scp=84884977998&partnerID=8YFLogxK

U2 - 10.1016/j.exmath.2013.06.004

DO - 10.1016/j.exmath.2013.06.004

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

SN - 0723-0869

VL - 31

SP - 256

EP - 273

JO - Expositiones Mathematicae

JF - Expositiones Mathematicae

IS - 3

ER -

Local-global invariants of finite and infinite groups: Around Burnside from another side

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this