Groups, hypergroups and the enigma of the Murngin. The Murngin case (Q686103)
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scientific article; zbMATH DE number 427764
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Groups, hypergroups and the enigma of the Murngin. The Murngin case |
scientific article; zbMATH DE number 427764 |
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Groups, hypergroups and the enigma of the Murngin. The Murngin case (English)
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12 March 1995
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Starting from the algebraic study of a kinship system, inside an Australian tribe, known as the Murngin system [see \textit{A. Weil}, in C. Lévi-Strauss (ed.), Les structures élementaires de la parenté, 278- 285 (1949)], the paper describes a more general mathematical model of kinship structures, making use of hypergroups and semidirect products of groups. In particular, the regular and alternate marriage of the Murngin system are re-discovered and also other possible structures (mixed with alternation) are obtained.
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marriage systems
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kinship system
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Murngin system
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hypergroups
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semidirect products of groups
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