Remarks on homomorphisms and isomorphisms of G-derived polyadic groups (Q1123989)
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scientific article; zbMATH DE number 4110961
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remarks on homomorphisms and isomorphisms of G-derived polyadic groups |
scientific article; zbMATH DE number 4110961 |
Statements
Remarks on homomorphisms and isomorphisms of G-derived polyadic groups (English)
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1988
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An H-system \(<\alpha;a>\) over a group (A,.) is said to be: 1) an \(E_ n\)-system if \(\alpha (x)=x^ m\); 2) a PH-system if a is the neutral element of (A,.). In this paper the author gives conditions for G-systems \(<\beta^ n_ 1;b>\) over (A,.) which ensure that the (n\(+1)\)-group \(der^ n_{\beta;b}(A,.)\) is isomorphic to some \((n+1)\)-group \(E_ m\)- , PH- or \(PE_ m\)-derived from (A,.), respectively.
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H-system
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\(E_ n\)-system
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PH-system
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G-systems
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\((n+1)\)-group
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0.8266355395317078
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0.7941974997520447
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0.7536436915397644
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