Consider the group D4 = (a, b) = {e = (1), a, a², a³, b, ab, a²b, a³b} %3D where a = (1 2 3 4) and b = (2 4). %3D %3D 1. Compute (ab)(ab). 9 Compute (ab)(a²b). 1 Compute (ab)(a³b). А. а А. a A. a a? В. a? a? C. С. a3 e C. a3 D. b D. ab D. b B. B.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the group D4 = (a, b) = {e = (1), a, a², a³, b, ab, a²b, a³b}
%3D
%3D
where a = (1 2 3 4) and b
= (2 4).
1.
Compute (ab)(ab).
2 Compute (ab)(a²b).
3 Compute (ab)(a³b).
А.
а
А.
a
А.
a
В.
a?
a?
В.
a²
C.
a3
С.
C.
a3
e
D. b
D.
ab
D. b
B.
Transcribed Image Text:Consider the group D4 = (a, b) = {e = (1), a, a², a³, b, ab, a²b, a³b} %3D %3D where a = (1 2 3 4) and b = (2 4). 1. Compute (ab)(ab). 2 Compute (ab)(a²b). 3 Compute (ab)(a³b). А. а А. a А. a В. a? a? В. a² C. a3 С. C. a3 e D. b D. ab D. b B.
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