Journal article

Weak commutativity and finiteness properties of groups

Abstract:: We consider the groupX(G) obtained fromG∗Gby forcing each elementgin the first freefactor to commute with the copy ofgin the second free factor. Deceptively complicated finitelypresented groups arise from this construction:X(G) is finitely presented if and only ifGis finitelypresented, but ifFis a non-abelian free group of finite rank thenX(F) has a subgroup of finiteindex whose third homology is not finitely generated.

Publication status:: Published

Peer review status:: Peer reviewed

Actions

Email

Email this record

Send the bibliographic details of this record to your email address.

Your Email
Please enter the email address that the record information will be sent to.

-
Your message (optional)
Please add any additional information to be included within the email.
Cite

Cite this record

APA Style

Bridson, M., & Kochloukova, D. (2018). Weak commutativity and finiteness properties of groups. Bulletin of the London Mathematical Society, 51(1), 168–180.

MLA Style

Bridson, M., and D. Kochloukova. “Weak Commutativity and Finiteness Properties of Groups.” Bulletin of the London Mathematical Society, vol. 51, no. 1, London Mathematical Society, 2018, pp. 168–80.

Chicago Style

Bridson, M, and D Kochloukova. 2018. “Weak Commutativity and Finiteness Properties of Groups.” Bulletin of the London Mathematical Society 51 (1): 168–80.
Share
Print

Access Document

Files:: Weak commutativity and finiteness properties of groups.pdf

(Preview, Accepted manuscript, pdf, 207.4KB, Terms of use)

Publisher copy:: 10.1112/blms.12219

Authors

+ Bridson, M More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Oxford college:: Magdalen College
Role:: Author

+ Kochloukova, D More by this author

Role:: Author

+ Royal Society More from this funder

Grant:: Wolfson Research Merit Award

Publisher:: London Mathematical Society
Journal:: Bulletin of the London Mathematical Society More from this journal
Volume:: 51
Issue:: 1
Pages:: 168-180
Publication date:: 2018-11-18
Acceptance date:: 2018-10-19
DOI:: 10.1112/blms.12219
EISSN:: 1469-2120
ISSN:: 0024-6093

Keywords:: groups

finiteness properties

weak commutativity
Pubs id:: pubs:702608
UUID:: uuid:b1c329db-bc80-44ac-b14d-69f48e91f75b
Local pid:: pubs:702608
Source identifiers:: 702608
Deposit date:: 2017-07-13

Terms of use

Copyright holder:: London Mathematical Society
Copyright date:: 2018
Notes:: Copyright © 2018 London Mathematical Society. This is the accepted manuscript version of the article. The final version is available online from London Mathematical Society at: https://doi.org/10.1112/blms.12219

Licence:: Terms and Conditions of Use for Oxford University Research Archive

Views and Downloads

About views and downloads

If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP