MATH.4210 Final: MATH 4210 Lowell sample Final
15 Feb 2019
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Note: this final exam may not reflect the actual content that we cover in the coming semester. For summer courses, the time is so short that i am likely to concentrate on only group theory. 100: a troop of soldiers line up in rows of 9 and there are seven soldier left over in the last row. 2 sample_final. nb: (a) write down the "multiplication table" for the group of symmetries of the square, d8 in terms of permutations of the labeled square below. Name the permutations so that you can use the grid below. 3 (b) consider the subgroup generated by a the 90 degree rotation of the square. Explain why this group is a normal subgroup of d8 (c) give an example of a subgroup of d8 that is not normal. sample_final. nb. 3: consider the set x of all strings of 0"s and 1"s of length four:
