Hi there,(adsbygoogle = window.adsbygoogle || []).push({});

I'm doing homework right now (no this isn't a homework question!) and have basic questions on permutations and cycles. The concept seemed so simple in class and still seems simple, but the notation using lowercase Greek letters is confusing me.

Do η and [itex]\theta[/itex] and most of the other Greek letters (we went from [itex]\alpha[/itex] to [itex]\gamma[/itex] in class) have specific permutations, depending on the number of cycles?

For example, one problem involves showing that [itex]\theta[/itex] and inverse[itex]\theta[/itex] have the same cycle structure, but I can't figure out how to represent theta because I don't know it's specific disjoint cycles or transposition.

Thank you so very much for the help!

Phoenix

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# Modern Algebra: Permutations and Cycles

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