4. Let G= (a, p: a' = B² = (aß)* = e ), then the centre of G is (D) {e,a) (A) {e} (B) {a.B) (C) G 5. Let H be a subgroup of a group G such that index [G: H] =2 then H is (A) abelian group (B) Normal group (C) Ca(H)= Ne(H] (D) None 6. Class equation of group G=ca,b: a²=b==(ab)²=e> is (A) 4-1+1+1+1 (B) 4-1+1+2 (C) 3-1+2 (D) 4=2+2
4. Let G= (a, p: a' = B² = (aß)* = e ), then the centre of G is (D) {e,a) (A) {e} (B) {a.B) (C) G 5. Let H be a subgroup of a group G such that index [G: H] =2 then H is (A) abelian group (B) Normal group (C) Ca(H)= Ne(H] (D) None 6. Class equation of group G=ca,b: a²=b==(ab)²=e> is (A) 4-1+1+1+1 (B) 4-1+1+2 (C) 3-1+2 (D) 4=2+2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![4. Let G= {a, ß: a² = B² = («ß)* = e ), then the centre of G is
(B) {a, f}
5. Let H be a subgroup of a group G such that index [G: H] =2 then H is
(A) abelian group (B) Normal group (C) CalH)= Ne(H] (D) None
(A) {e)
(C) G
(D) {e,a?)
6. Class equation of group G=ca,b: a=b²=(ab)%=e> is
(A) 4=1+1+1+1
(8) 4-1+1+2
(C) 3=1+2
(D) 4=2+2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbf746eb5-d3be-4a6f-a3fa-f51c2c5d6287%2Ff676bd92-c5c3-4229-a75e-d063557e1f2e%2F8a8k8mg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Let G= {a, ß: a² = B² = («ß)* = e ), then the centre of G is
(B) {a, f}
5. Let H be a subgroup of a group G such that index [G: H] =2 then H is
(A) abelian group (B) Normal group (C) CalH)= Ne(H] (D) None
(A) {e)
(C) G
(D) {e,a?)
6. Class equation of group G=ca,b: a=b²=(ab)%=e> is
(A) 4=1+1+1+1
(8) 4-1+1+2
(C) 3=1+2
(D) 4=2+2
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