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Elements Of Modern Algebra

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.5: Normal Subgroups

Problem 4E: 4. Prove that the special linear group is a normal subgroup of the general linear group .

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17,
Let f: <R, +> - <R,+>be defined by
f( x ) = 3x - 3
Prove or disprove : fis an isomorphism of the additive group onto itself.
18.
Let G be a group, x e G and Ha subgroup of G. Let the subgroup K be defined by
K = {k =xhx |heH}.
Show that
K
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4. Prove that the special linear group is a normal subgroup of the general linear group .
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