Subgroups - If K is a subgroup of H and H is a subgroup of G, is K a subgroup of G? Please justify your answer.
Groups and Subgroups - Let G sub1 and G sub 2 be groups, with subgroups H sub 1 and H sub 2, respectivetly. Show that {(x sub 1, x sub 2) | H sub 1 is an element of H sub 1, x sub 2 is an element of H sub 2} is a subgroup ...
Subgroups - If X is a nonempty subset of a group G,
let ={x1^(k1),x2^(k2)...xm^(km)|m>=1, xiEX and kiEZ for each i}.
a) show that is a subgroup of G that contains x.
b) show that C=H for every subgro ...