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homework9
Course: M 173, Fall 2009School: Hudson VCC
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173 Math Homework Set #9 Due Tuesday April 8 1) Section A.4, # 18 2) Prove that the set {0,1,2,3,4}with the operation addition modulo 5 is a group. 3) Prove that the set {1,2,3,4,5} with the operation multiplication modulo 6 is not a group. 4) In the sketch below, numbers are used to indicate the vertices and letter are used for the faces. Assume all congruent looking things are indeed congruent. 1 E A 4 C G 7 8 5...
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173 Math Homework Set #9 Due Tuesday April 8
1) Section A.4, # 18 2) Prove that the set {0,1,2,3,4}with the operation addition modulo 5 is a group. 3) Prove that the set {1,2,3,4,5} with the operation multiplication modulo 6 is not a group. 4) In the sketch below, numbers are used to indicate the vertices and letter are used for the faces. Assume all congruent looking things are indeed congruent. 1 E A 4 C G 7 8 5 D H 9 B 6 2 F 3
a) Use cycle notation to describe the action of each of symmetries the of the figure on the vertices (assume that spins and flips are legal actions). b) Find all orbits of the vertices and all orbits of the faces. c) Find the stabilizer of the vertex 1, the stabilizer of the vertex 8 and the stabilizer of D. 5) Find and label the faces of a geom...
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Hudson VCC - M - 173
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Hudson VCC - M - 173
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Hudson VCC - STAT - 111
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Hudson VCC - STAT - 111
Hudson VCC - STAT - 111
Hudson VCC - STAT - 111
Hudson VCC - STAT - 111
Hudson VCC - STAT - 111
Hudson VCC - STAT - 111
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Hudson VCC - MATH - 009
Hudson VCC - MATH - 009
Hudson VCC - MATH - 009
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Hudson VCC - MATH - 009
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