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Licensed Unlicensed Requires Authentication Published by De Gruyter March 20, 2020

Deflation and tensor induction on the Frobenius–Wielandt morphism

  • Nadia Romero
From the journal Journal of Group Theory


We explore conditions for the Frobenius–Wielandt morphism to commute with the operations of deflation and tensor induction on the Burnside ring. In doing this, we review the commutativity with induction. The techniques used for induction and tensor induction no longer work for deflation, so, in this case, we make use of tools coming from the theory of biset functors.

Communicated by Britta Spaeth


Many thanks to Serge Bouc, for without his knowledge of les èms, this note would not exist, and thanks to the referee for the useful suggestions.


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Received: 2019-09-30
Revised: 2020-01-03
Published Online: 2020-03-20
Published in Print: 2020-07-01

© 2021 Walter de Gruyter GmbH, Berlin/Boston

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