Mathematics
Mathematics, 13.07.2019 04:10, campbellkruger

For each integer n, define fn: r-> r by fn(x)=x+n. a) prove that for each integer n, fn is a permutation of r, that is fnes( b)prove that fn•(• meaning composed)fm=fn+m and fn^-1=f-n c) let g={fn: nez}. prove that g is a subgroup of s(r). d) prove that g is cyclic (find a generator of g).

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For each integer n, define fn: r-> r by fn(x)=x+n. a) prove that for each integer n, fn is a perm...

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