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Rank, Coclass, and Cohomology.

Authors :
Symonds, Peter
Source :
IMRN: International Mathematics Research Notices. Nov2021, Vol. 2021 Issue 22, p17399-17412. 14p.
Publication Year :
2021

Abstract

We prove that for any prime |$p$| the finite |$p$| -groups of fixed coclass have only finitely many different mod- |$p$| cohomology rings between them. This was conjectured by Carlson; we prove it by first proving a stronger version for groups of fixed rank. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*LOGICAL prediction
*FINITE, The

Details

Language :
English
ISSN :
10737928
Volume :
2021
Issue :
22
Database :
Academic Search Index
Journal :
IMRN: International Mathematics Research Notices
Publication Type :
Academic Journal
Accession number :
154736779
Full Text :
https://doi.org/10.1093/imrn/rnz287