A note on the arithmetic background to Frobenius' theory of group characters (Q583275)
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scientific article; zbMATH DE number 4132286
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the arithmetic background to Frobenius' theory of group characters |
scientific article; zbMATH DE number 4132286 |
Statements
A note on the arithmetic background to Frobenius' theory of group characters (English)
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1989
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The author points out that Frobenius was led to ``create'' non-Abelian group characters by attempting to understand some ``relations'' in \textit{L. Kronecker}'s paper ``Über die Irreduktibilität von Gleichungen'' [Monatsber. K. Preuß. Akad. Wiss. Berl. 1880, 155-162 (1880)] (see also \textit{Th. Hawkins}, Arch. Hist. Exact Sci. 7, 142-170 (1970; Zbl 0217.299); ibid. 12, 217-243 (1974; Zbl 0397.01005), who documented Frobenius' interest in algebraic number theory by the extensive correspondence between him and Dedekind). Frobenius' conjecture has now become Chebotarev's density theorem.
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