On loops that are abelian groups over the nucleus and Buchsteiner loops

Piroska Csörgö

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Displaying similar documents to “On loops that are abelian groups over the nucleus and Buchsteiner loops”

On finite commutative IP-loops with elementary abelian inner mapping groups of order $p^{4}$

Markku Niemenmaa (2010)

Commentationes Mathematicae Universitatis Carolinae

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We show that finite commutative inverse property loops with elementary abelian inner mapping groups of order $p^{4}$ are centrally nilpotent of class at most two.

A-loops close to code loops are groups

Aleš Drápal (2000)

Commentationes Mathematicae Universitatis Carolinae

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Let $Q$ be a diassociative A-loop which is centrally nilpotent of class 2 and which is not a group. Then the factor over the centre cannot be an elementary abelian 2-group.

Displaying similar documents to “On loops that are abelian groups over the nucleus and Buchsteiner loops”

On finite commutative IP-loops with elementary abelian inner mapping groups of order p 4

A-loops close to code loops are groups

On finite commutative IP-loops with elementary abelian inner mapping groups of order $p^{4}$