Fast decomposition of p-groups in the Roquette category, for p>2

Let p be a prime number. In [9], I introduced the Roquette category R_p of finite p-groups, which is an additive tensor category containing all finite p-groups among its objects. In R_p, every finite p-group P admits a canonical direct summand dP, called the edge of P. Moreover P splits uniquely as a direct sum of edges of Roquette p-groups. In this note, I would like to describe a fast algorithm to obtain such a decomposition, when p is odd. ref: [9] The Roquette category of finite p-groups, J.E.M.S (to appear)

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Source https://hal.science/hal-00965224
Author Bouc, Serge
Maintainer CCSD
Last Updated May 5, 2026, 21:10 (UTC)
Created May 5, 2026, 21:10 (UTC)
Identifier hal-00965224
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352 UPJV (LAMFA) ; Université de Picardie Jules Verne (UPJV)-Centre National de la Recherche Scientifique (CNRS)
creator Bouc, Serge
date 2014-03-21T00:00:00
harvest_object_id 56ff2c42-97e4-4848-a066-8fb325fd15ec
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2024-05-17T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1403.6092
set_spec type:REPORT