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Journal of Group Theory

Editor-in-Chief: Parker, Christopher W.

Managing Editor: Wilson, John S. / Khukhro, Evgenii I. / Kramer, Linus


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Online
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1435-4446
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Volume 22, Issue 3

Issues

On the lifting of the Dade group

Caroline Lassueur / Jacques Thévenaz
Published Online: 2019-01-20 | DOI: https://doi.org/10.1515/jgth-2018-0145

Abstract

For the group of endo-permutation modules of a finite p-group, there is a surjective reduction homomorphism from a complete discrete valuation ring of characteristic 0 to its residue field of characteristic p. We prove that this reduction map always has a section which is a group homomorphism.

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About the article


Received: 2018-07-12

Revised: 2018-10-29

Published Online: 2019-01-20

Published in Print: 2019-05-01


This paper is based upon work supported by the National Science Foundation under Grant No. DMS1440140 while the first author was in residence at the Mathematical Sciences Research Institute in Berkeley, California, during the Spring 2018 semester. This work contributes to Project A18-I.15 of SFB-TRR 195 ‘Symbolic Tools in Mathematics and their Application’.


Citation Information: Journal of Group Theory, Volume 22, Issue 3, Pages 441–451, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/jgth-2018-0145.

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