A group G with four elements has the following partially-filled Cayley table. In particular, a² = c, bc = c, and c2 = b. b c d а C а b b d 1. What is the identity e? 2. Copy the table then fill it up. You don't have to explain anymore how you did it. 3. Find all elements g for which g² : = e.

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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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A group G with four elements has the following partially-filled Cayley table.

What is the identity e? Copy the table then fill it up. You don't have to explain anymore how you did it. Find all elements g for which g2 - = e.

A group G with four elements has the following partially-filled Cayley table. In particular, a² = c, bc = c, and
c2 = b.
b c d
а
C
а
b
b
d
1. What is the identity e?
2. Copy the table then fill it up. You don't have to explain anymore how you did it.
3. Find all elements g for which g² :
= e.
Transcribed Image Text:A group G with four elements has the following partially-filled Cayley table. In particular, a² = c, bc = c, and c2 = b. b c d а C а b b d 1. What is the identity e? 2. Copy the table then fill it up. You don't have to explain anymore how you did it. 3. Find all elements g for which g² : = e.
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