.. Let G be a subgroup of E (2) and suppose that I is the translation subgroup of G. Prove that the point group of G is isomorphic to G/T.

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 34E
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12.2. Symmetry

Algebraic Structures 

1. Let G be a subgroup of E (2) and suppose that T is the
translation subgroup of G. Prove that the point group
of G is isomorphic to G/T.
Transcribed Image Text:1. Let G be a subgroup of E (2) and suppose that T is the translation subgroup of G. Prove that the point group of G is isomorphic to G/T.
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