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Given a cycle $c in S_n $ with $ ord(c) = s $ and $ s = kt $, prove that $c^k$ is a product of $k$ cycles of...

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1 $begingroup$ I came across this question in a recent exam. Given that $ ord(c) = s $ , we assume that $c^s = c^{kt} = (id) implies (c^{k})^t = (id)$ . That means that $c^k$ is a cycle of order $t$ . Can you please help me on the next step? abstract-algebra group-theory permutations permutation-cycles share | cite | improve this question edited Jan 16 at 16:17 ntua_math asked Jan 16 at 15:17 ntua_math ntua_math 8 5

Boris Godunov (1989 film)

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Boris Godunov (1989 film) From Wikipedia, the free encyclopedia Jump to navigation Jump to search Boris Godunov Official poster Directed by Andrzej Zulawski Produced by Daniel Toscan du Plantier Claude Abeille Written by Modest Mussorgsky Andrzej Zulawski Starring Ruggero Raimondi Kenneth Riegel Pavel Slaby Delphine Forest Music by Modest Mussorgsky Cinematography Andrzej Jaroszewicz Pierre-Laurent Chénieux Edited by Marie-Sophie Dubus (II) Distributed by France: UGC Netherlands: NFM/IAF Erato Records (soundtrack album) Release date 1 January 1989 Running time 117 minutes Country France Spain Yugoslavia Language Russian Boris Godounov (aka Boris Godunov) is a 1989 film based on the opera of the same name by Modest Mussorgsky, but also the play of Alexander Pushkin. The film features the original 1872 Mussorgsky's score, although with significant cuts.