On multiplication groups of relatively free quasigroups isotopic to Abelian groups

Title:

On multiplication groups of relatively free quasigroups isotopic to Abelian groups

Creator:

Drápal, Aleš

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:8e81aada-214d-41f9-8206-a8133beed9f3
uuid:8e81aada-214d-41f9-8206-a8133beed9f3

Subject:

central quasigroups, $T$-quasigroups, multiplication groups, Frobenius groups, and quasigroups isotopic to Abelian groups

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

If $Q$ is a quasigroup that is free in the class of all quasigroups which are isotopic to an Abelian group, then its multiplication group $\mathop {\mathrm Mlt}Q$ is a Frobenius group. Conversely, if $\mathop {\mathrm Mlt}Q$ is a Frobenius group, $Q$ a quasigroup, then $Q$ has to be isotopic to an Abelian group. If $Q$ is, in addition, finite, then it must be a central quasigroup (a $T$-quasigroup).

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

61-86

Source:

Czechoslovak Mathematical Journal | 2005 Volume:55 | Number:1

Harvested from:

CDK

Metadata only:

false