Abstract algebra Choose the correct answer Suppose that f:G→ G such that f(x) = axa'. Then f is a group homomorphism ifand only ifa = ea^4 = eO a*2 = eO a*3 = eIf H and K are subgroups of G, IHI= 20 and KI=32 then a possible value of |HNK| is2O16

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Suppose that f:G →G such that f(x) = axa'. Then f is a group homomorphism if %3| and only if a = e a^4 = e O a^2 = e O a*3 = e If H and K are subgroups of G, IH|= 20 and |K|=32 then a possible value of |HNK| is O 2 O 16

Suppose that f:G →G such that f(x) = axa'. Then f is a group homomorphism if %3| and only if a = e a^4 = e O a^2 = e O a*3 = e If H and K are subgroups of G, IH|= 20 and |K|=32 then a possible value of |HNK| is O 2 O 16

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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Question

Abstract algebra Choose the correct answer

Suppose that f:G→ G such that f(x) = axa'. Then f is a group homomorphism if
and only if
a = e
a^4 = e
O a*2 = e
O a*3 = e
If H and K are subgroups of G, IHI= 20 and KI=32 then a possible value of |HNK| is
2
O16

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