Geodesic
The Roquette category of finite $p$-groups
Journal of the European Mathematical Society, Tome 17 (2015) no. 11, pp. 2843-2886.

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Let p be a prime number. This paper introduces the Roquette category Rp​ of finite p-groups, which is an additive tensor category containing all finite p-groups among its objects. In Rp​, every finite p-group P admits a canonical direct summand ∂P, called the edge of P. Moreover P splits uniquely as a direct sum of edges of Roquette p-groups, and the tensor structure of Rp​ can be described in terms of such edges.
DOI : 10.4171/jems/573
Classification : 18-XX, 19-XX, 20-XX
Keywords: p-group, Roquette, rational, biset, genetic 
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     author = {Serge Bouc},
     title = {The {Roquette} category of finite $p$-groups},
     journal = {Journal of the European Mathematical Society},
     pages = {2843--2886},
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     number = {11},
     year = {2015},
     doi = {10.4171/jems/573},
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Serge Bouc. The Roquette category of finite $p$-groups. Journal of the European Mathematical Society, Tome 17 (2015) no. 11, pp. 2843-2886. doi : 10.4171/jems/573. http://geodesic.mathdoc.fr/articles/10.4171/jems/573/

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