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Groups and FieldsSuperchallengePermutation Groups

Permutation Groups · Superchallenge problem

Under the left regular representation of Z8\mathbb{Z}_8 into S8S_8, how many of the 88 elements g∈{0,1,…,7}g \in \{0,1,\ldots,7\} give an ODD permutation λg\lambda_g?