Question
(i) Let G be a non-cyclic group of order 8 with a cyclic subgroup K of order 4. Show that if G splits over
(i) Let G be a non-cyclic group of order 8 with a cyclic subgroup K of order 4. Show that if G splits over K then G is isomorphic to either C x C4 or Dg, while if G does not split over K then GQ8. (ii) Hence show that v(8) = 5.
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Discrete Mathematics and Its Applications
Authors: Kenneth H. Rosen
7th edition
0073383090, 978-0073383095
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