On a question of Bumagin and Wise

Alan D. Logan

On a question of Bumagin and Wise

Alan D. Logan^*

^*Corresponding author for this work

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

Abstract

Motivated by a question of Bumagin and Wise, we construct a continuum of finitely generated, residually finite groups whose outer automorphism groups are pairwise nonisomorphic finitely generated, non-recursively-presentable groups. These are the first examples of such residually finite groups.

Original language	English
Pages (from-to)	865-873
Number of pages	9
Journal	New York Journal of Mathematics
Volume	22
Publication status	Published - 2016

Keywords

Outer automorphism groups
Recursive presentability
Residually finite groups

Cite this

@article{95b5c1122e8b4c6695353587ddaa5bf1,

title = "On a question of Bumagin and Wise",

abstract = "Motivated by a question of Bumagin and Wise, we construct a continuum of finitely generated, residually finite groups whose outer automorphism groups are pairwise nonisomorphic finitely generated, non-recursively-presentable groups. These are the first examples of such residually finite groups.",

keywords = "Outer automorphism groups, Recursive presentability, Residually finite groups",

author = "Logan, \{Alan D.\}",

year = "2016",

language = "English",

volume = "22",

pages = "865--873",

journal = "New York Journal of Mathematics",

issn = "1076-9803",

publisher = "University at Albany",

}

TY - JOUR

T1 - On a question of Bumagin and Wise

AU - Logan, Alan D.

PY - 2016

Y1 - 2016

N2 - Motivated by a question of Bumagin and Wise, we construct a continuum of finitely generated, residually finite groups whose outer automorphism groups are pairwise nonisomorphic finitely generated, non-recursively-presentable groups. These are the first examples of such residually finite groups.

AB - Motivated by a question of Bumagin and Wise, we construct a continuum of finitely generated, residually finite groups whose outer automorphism groups are pairwise nonisomorphic finitely generated, non-recursively-presentable groups. These are the first examples of such residually finite groups.

KW - Outer automorphism groups

KW - Recursive presentability

KW - Residually finite groups

UR - https://www.scopus.com/pages/publications/84987849576

M3 - Article

AN - SCOPUS:84987849576

SN - 1076-9803

VL - 22

SP - 865

EP - 873

JO - New York Journal of Mathematics

JF - New York Journal of Mathematics

ER -

On a question of Bumagin and Wise

Abstract

Keywords

Other files and links

Fingerprint

Cite this