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Die Klassifikation der Gruppen bis zur Ordnung p^5

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arxiv 1806.07462 v1 pith:SMWVBPN3 submitted 2018-06-19 math.GR

classification math.GR
keywords classificationpresentationsadequacybasicclassifycompletenesscontainsdetailed
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This paper presents a classification of all p-groups of order p^5 up to isomorphism. It contains a full list of their polycyclic presentations, a short introduction to the basic ideas of the methodes used to classify the groups, and a detailed proof of the adequacy and completeness of the classification and presentations presented in the paper.

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  1. On Simply Connected Quandles

    math.GR 2025-04 conditional novelty 7.0 of 10

    A finite quandle is simply connected exactly when it is principal and all prime-size abelian cocycles are trivial, which yields classifications for sizes p^2 and p^3.

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