On cohomology isomorphisms of groups

Peter Symonds

doi:10.1016/j.jalgebra.2007.02.054

On cohomology isomorphisms of groups

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

Abstract

We show how Mislin's theorem on group homomorphisms that induce an isomorphism in cohomology can be proved based on ideas of Alperin and the use of Lannes's T-functor. This enables us to extend the class of groups to include groups of finite virtual cohomological dimension and profinite groups. © 2007 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	802-810
Number of pages	8
Journal	Journal of Algebra
Volume	313
Issue number	2
DOIs	https://doi.org/10.1016/j.jalgebra.2007.02.054
Publication status	Published - 15 Jul 2007

Keywords

Cohomology
T-functor

Access to Document

10.1016/j.jalgebra.2007.02.054

Cite this

@article{f2443d644a9b479aba48300b732c496f,

title = "On cohomology isomorphisms of groups",

abstract = "We show how Mislin's theorem on group homomorphisms that induce an isomorphism in cohomology can be proved based on ideas of Alperin and the use of Lannes's T-functor. This enables us to extend the class of groups to include groups of finite virtual cohomological dimension and profinite groups. {\textcopyright} 2007 Elsevier Inc. All rights reserved.",

keywords = "Cohomology, T-functor",

author = "Peter Symonds",

year = "2007",

month = jul,

day = "15",

doi = "10.1016/j.jalgebra.2007.02.054",

language = "English",

volume = "313",

pages = "802--810",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Elsevier BV",

number = "2",

}

TY - JOUR

T1 - On cohomology isomorphisms of groups

AU - Symonds, Peter

PY - 2007/7/15

Y1 - 2007/7/15

N2 - We show how Mislin's theorem on group homomorphisms that induce an isomorphism in cohomology can be proved based on ideas of Alperin and the use of Lannes's T-functor. This enables us to extend the class of groups to include groups of finite virtual cohomological dimension and profinite groups. © 2007 Elsevier Inc. All rights reserved.

AB - We show how Mislin's theorem on group homomorphisms that induce an isomorphism in cohomology can be proved based on ideas of Alperin and the use of Lannes's T-functor. This enables us to extend the class of groups to include groups of finite virtual cohomological dimension and profinite groups. © 2007 Elsevier Inc. All rights reserved.

KW - Cohomology

KW - T-functor

U2 - 10.1016/j.jalgebra.2007.02.054

DO - 10.1016/j.jalgebra.2007.02.054

M3 - Article

VL - 313

SP - 802

EP - 810

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

IS - 2

ER -

On cohomology isomorphisms of groups

Abstract

Keywords

Access to Document

Fingerprint

Cite this