Indecomposable racks of order p2

We classify indecomposable racks of order p2 (p a prime). There are 2p2-2p-2 isomorphism classes, among which 2p2-3p-1 correspond to quandles. In particular, we prove that an indecomposable quandle of order p2 is affine. As an ingredient of the classification, we prove that the quandle non-abelian s...

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Autor principal: Graña, Matías Alejo
Publicado: 2004
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01384821_v45_n2_p665_Grana
http://hdl.handle.net/20.500.12110/paper_01384821_v45_n2_p665_Grana
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_01384821_v45_n2_p665_Grana
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spelling paper:paper_01384821_v45_n2_p665_Grana2023-06-08T15:10:57Z Indecomposable racks of order p2 Graña, Matías Alejo We classify indecomposable racks of order p2 (p a prime). There are 2p2-2p-2 isomorphism classes, among which 2p2-3p-1 correspond to quandles. In particular, we prove that an indecomposable quandle of order p2 is affine. As an ingredient of the classification, we prove that the quandle non-abelian second cohomology set of an indecomposable quandle of prime order is trivial. Fil:Graña, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2004 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01384821_v45_n2_p665_Grana http://hdl.handle.net/20.500.12110/paper_01384821_v45_n2_p665_Grana
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We classify indecomposable racks of order p2 (p a prime). There are 2p2-2p-2 isomorphism classes, among which 2p2-3p-1 correspond to quandles. In particular, we prove that an indecomposable quandle of order p2 is affine. As an ingredient of the classification, we prove that the quandle non-abelian second cohomology set of an indecomposable quandle of prime order is trivial.
author Graña, Matías Alejo
spellingShingle Graña, Matías Alejo
Indecomposable racks of order p2
author_facet Graña, Matías Alejo
author_sort Graña, Matías Alejo
title Indecomposable racks of order p2
title_short Indecomposable racks of order p2
title_full Indecomposable racks of order p2
title_fullStr Indecomposable racks of order p2
title_full_unstemmed Indecomposable racks of order p2
title_sort indecomposable racks of order p2
publishDate 2004
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01384821_v45_n2_p665_Grana
http://hdl.handle.net/20.500.12110/paper_01384821_v45_n2_p665_Grana
work_keys_str_mv AT granamatiasalejo indecomposableracksoforderp2
_version_ 1768544033389412352

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