(i) What can you say about the centre of a simple group?(ii) For each integer n such that 2

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What can you say about the centre of a simple group?

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 1E

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Question

(i) What can you say about the centre of a simple group?
(ii) For each integer n such that 2 <n < 11 determine if there exists a simple group G such
that G| = n. (You need to justify your answer. You can use any results from the course
if you state them clearly.)

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