MO640 - Multiple-choice question
Regarding permutations over a finite set E, which of the following properties on their norms is NOT true, where 1 indicates the identity permutation and orb(α) is the set of orbits of α:
a - ||α|| = 0 if and only if α = 1
b - ||αβ|| ≤ ||α|| + ||β||
c - ||αβ|| = ||βα||
d - ||α|| = |E| - |orb(α)|
e - None of above
a - ||α|| = 0 if and only if α = 1
b - ||αβ|| ≤ ||α|| + ||β||
c - ||αβ|| = ||βα||
d - ||α|| = |E| - |orb(α)|
e - None of above
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