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p-Divisibility of the Number of Solutions of xp = 1 in a Symmetric Group

✍ Scribed by Hideki Ishihara; Hiroyuki Ochiai; Yugen Takegahara; Tomoyuki Yoshida

Publisher: Springer
Year: 2001
Tongue: English
Weight: 132 KB
Volume: 5
Category: Article
ISSN: 0218-0006
DOI: 10.1007/pl00001300

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📜 SIMILAR VOLUMES

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A mar.rix T =z (tik) is introduced, the coefficients of which are defined by tik : = (~kl(w9L,,~" Ui(X)k, i,kEN={1,2,3,.. . , }, where a;(x) denotes the number of i cycles in the element x of the symmetric group S,,. It is shown that "lese numbers are natural numbers, that they are easy to evaluate