3. Consider the following permutations from Sg. 1 2 3 4 5 1 2 3 4 5 01 = 02 = 2 1 4 5 3 2 3 15 4 a. Compute a = 01; 02 and 3= 02; 01. !! b. Compute the sign of o1 and the sign of o2. Is it correct...

3. Consider the following permutations from Sg.<br>1 2 3 4 5<br>1 2 3 4 5<br>01 =<br>02 =<br>2 1 4 5 3<br>2 3 15 4<br>a. Compute a = 01; 02 and 3= 02; 01.<br>!!<br>b. Compute the sign of o1 and the sign of o2.<br>Is it correct that sgn(a) = sgn(01) · sgn(o2) ?<br>c. Find the order of o1 and o2.<br>

Extracted text: 3. Consider the following permutations from Sg. 1 2 3 4 5 1 2 3 4 5 01 = 02 = 2 1 4 5 3 2 3 15 4 a. Compute a = 01; 02 and 3= 02; 01. !! b. Compute the sign of o1 and the sign of o2. Is it correct that sgn(a) = sgn(01) · sgn(o2) ? c. Find the order of o1 and o2.

Jun 04, 2022

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3. Consider the following permutations from Sg. 1 2 3 4 5 1 2 3 4 5 01 = 02 = 2 1 4 5 3 2 3 15 4 a. Compute a = 01; 02 and 3= 02; 01. !! b. Compute the sign of o1 and the sign of o2. Is it correct...

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