Only 6.10 please. 6.10 Find all subgroups of Z2× Z4.6.11 Find all subgroups of Z,xZ,×Z,.6.12 Let G and H be finite groups. Show that if G XH is cyclic, then (i) G and Fcyclic, and (ii) every subgroup of G X H is of the form AXB for some subg

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6.10 Find all subgroups of Z,XZ4. 6.11 Find all subgroups of Z,xZ,>

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.7: Direct Sums (optional)

Problem 11E: 11. Assume that are subgroups of the abelian group such that the sum is direct. If is a subgroup...

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Only 6.10 please.

6.10 Find all subgroups of Z2× Z4.
6.11 Find all subgroups of Z,xZ,×Z,.
6.12 Let G and H be finite groups. Show that if G XH is cyclic, then (i) G and F
cyclic, and (ii) every subgroup of G X H is of the form AXB for some subg

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