Corrigendum to “Phantom maps and purity in modular representation theory, III” [J. Algebra 248 (2) (2002) 747–754]

D. J. Benson

doi:10.1016/j.jalgebra.2014.01.013

Corrigendum to “Phantom maps and purity in modular representation theory, III” [J. Algebra 248 (2) (2002) 747–754]

D. J. Benson^*

^*Corresponding author for this work

Mathematical Science

Research output: Contribution to journal › Comment/debate › peer-review

2 Citations (Scopus)

Abstract

Ivo Herzog has pointed out to me that the main theorem of [1] cannot be correct, because as noted in his paper with Fu [2], for the Klein four group in characteristic two the image of a phantom map between two modules with no projective summands kills the socle of the first module, so the composite of two such maps is zero.

Original language	English
Pages (from-to)	171-172
Number of pages	2
Journal	Journal of Algebra
Volume	406
Early online date	19 Mar 2014
DOIs	https://doi.org/10.1016/j.jalgebra.2014.01.013
Publication status	Published - 15 May 2014

Access to Document

10.1016/j.jalgebra.2014.01.013Licence: CC BY

Cite this

@article{ae5cdca680c64f208c9fbe7945a47e29,

title = "Corrigendum to “Phantom maps and purity in modular representation theory, III” [J. Algebra 248 (2) (2002) 747–754]",

abstract = "Ivo Herzog has pointed out to me that the main theorem of [1] cannot be correct, because as noted in his paper with Fu [2], for the Klein four group in characteristic two the image of a phantom map between two modules with no projective summands kills the socle of the first module, so the composite of two such maps is zero.",

author = "Benson, {D. J.}",

year = "2014",

month = may,

day = "15",

doi = "10.1016/j.jalgebra.2014.01.013",

language = "English",

volume = "406",

pages = "171--172",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Corrigendum to “Phantom maps and purity in modular representation theory, III” [J. Algebra 248 (2) (2002) 747–754]

AU - Benson, D. J.

PY - 2014/5/15

Y1 - 2014/5/15

N2 - Ivo Herzog has pointed out to me that the main theorem of [1] cannot be correct, because as noted in his paper with Fu [2], for the Klein four group in characteristic two the image of a phantom map between two modules with no projective summands kills the socle of the first module, so the composite of two such maps is zero.

AB - Ivo Herzog has pointed out to me that the main theorem of [1] cannot be correct, because as noted in his paper with Fu [2], for the Klein four group in characteristic two the image of a phantom map between two modules with no projective summands kills the socle of the first module, so the composite of two such maps is zero.

U2 - 10.1016/j.jalgebra.2014.01.013

DO - 10.1016/j.jalgebra.2014.01.013

M3 - Comment/debate

SN - 0021-8693

VL - 406

SP - 171

EP - 172

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Corrigendum to “Phantom maps and purity in modular representation theory, III” [J. Algebra 248 (2) (2002) 747–754]

Abstract

Access to Document

Fingerprint

Cite this