Give an example of a group G which has subgroup H with G not equal to H, H not equal to {e}?

0 ⤊

Give an example of a group G which has subgroup H with G not equal to H, H not equal to {e}?

and H is not noraml in G. Be sure to name both G and H.

2006-12-14 15:43:45 · 2 answers · asked by MatheMathe 2 in Science & Mathematics ➔ Mathematics

2 answers

You should be able to do this.

Exs: D8, S3, Z2 x Z2, Z10, etc (all of these numbers are subscripts). Basically any group that isn't of prime order will have a subroup that is nontrivial and proper.

2006-12-14 15:51:38 · answer #1 · answered by raz 5 · 0⤊ 0⤋

wtf?? lol

2006-12-14 23:51:32 · answer #2 · answered by sweetangel131989 2 · 0⤊ 3⤋