Proof. We need to show that Hg = gH for every g 2 G. For g 2 H this is obvious. Take g 2 G n H. T... more Proof. We need to show that Hg = gH for every g 2 G. For g 2 H this is obvious. Take g 2 G n H. Then gH 6 = H. We know that gH \ H = ; and G = H [ gH, since there are just two cosets, so gH = G n H. For the same reason, Hg = G n H so the result follows.
Proof. We need to show that Hg = gH for every g 2 G. For g 2 H this is obvious. Take g 2 G n H. T... more Proof. We need to show that Hg = gH for every g 2 G. For g 2 H this is obvious. Take g 2 G n H. Then gH 6 = H. We know that gH \ H = ; and G = H [ gH, since there are just two cosets, so gH = G n H. For the same reason, Hg = G n H so the result follows.
Uploads
Papers by Everias Gzl