Characters of finite quasigroups. II: Induced characters (Q1080532)
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scientific article; zbMATH DE number 3966478
| Language | Label | Description | Also known as |
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| English | Characters of finite quasigroups. II: Induced characters |
scientific article; zbMATH DE number 3966478 |
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Characters of finite quasigroups. II: Induced characters (English)
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1986
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In part I [ibid. 5, 43-50 (1984; Zbl 0537.20042)] the authors introduced the elements of a theory of characters for finite non-empty quasigroups, generalizing the characters of finite groups. In the present paper, the development of this theory is continued by showing how characters of a subquasigroup may be induced up to characters of a containing quasigroup. The Frobenius reciprocity theorem and an analogue of Artin's theorem for these characters are proved. Character rings of quasigroups are also examined.
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characters
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Frobenius reciprocity theorem
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Artin's theorem
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Character rings of quasigroups
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