For a set S = {a1,..., an} consider the cycle f = (a1 ... a, ). What properties does the cycle f have? O A. f has length r – 1. O B. f is a permutation of S. O C. f sends a1 → a2, ... , ap-1 → a, and a, → a1. D. f is an onto (i.e. surjective) function on S. O E. f has a signature of –1

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For a set S = {a1,..., an} consider the cycle f = (a1 ... a, ). What
properties does the cycle f have?
O A. f has length r – 1.
O B. f is a permutation of S.
O C. f sends a1 → a2, ... , ap-1 → a, and a, → a1.
D. f is an onto (i.e. surjective) function on S.
O E. f has a signature of –1
Transcribed Image Text:For a set S = {a1,..., an} consider the cycle f = (a1 ... a, ). What properties does the cycle f have? O A. f has length r – 1. O B. f is a permutation of S. O C. f sends a1 → a2, ... , ap-1 → a, and a, → a1. D. f is an onto (i.e. surjective) function on S. O E. f has a signature of –1
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