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Without using the Generalized Cayley Theorem or its corollaries,prove that there is no simple group of order 112.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.8: Some Results On Finite Abelian Groups (optional)

Problem 18E

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Without using the Generalized Cayley Theorem or its corollaries,
prove that there is no simple group of order 112.

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