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

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