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Consider the group D4

Consider the group D4

Advanced Engineering Mathematics
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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Consider the group D4 = (a, b) = {e = (1), a, a², a³, b, ab, a²b, a³b} where a = (1 23 4) and b = (2 4). Compute (ab)(ab) Compute (ab)(a²b) Compute (ab)(a³b) Compute (a b)(a²b) Compute (a³b)(a³)
Transcribed Image Text:Consider the group D4 = (a, b) = {e = (1), a, a², a³, b, ab, a²b, a³b} where a = (1 23 4) and b = (2 4). Compute (ab)(ab) Compute (ab)(a²b) Compute (ab)(a³b) Compute (a b)(a²b) Compute (a³b)(a³)
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