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A) Let G be a group of order 203. Prove that if H is normal subgroup of order 7 in G then H<=Z(G). Deduce that G is abelian in this case.
b)Let P be a normal Sylow p-subgroup of G and let H be any subgroup of G. Prove that P intersect H is the unique Sylow p-subgroup of H.
c)Let P be in Syl_p(G) and assume N is a normal subgroup of G. Use the conjugacy part of Sylow's theorem to prove that P intesect N is a Sylow p-subgroup of N. Deduce that PN/N is a Sylow p-subgroup of G/n
During the play, each player, in turn, draws a question at random from a stack of questions. The player then answers the question based on the cards that he /she sees (not the player's cards, which the player cannot see).
Could you explain me the easiest steps needed to prove the Holder inequality for L^p spaces?
Determine the vertex, intercepts and domain
Simplify the inequality and graph the solution
What is the difference between data and information? What is needed for business decision-making? Data, information or both? If you think data is different from information, which comes first? Data or information?
D2. Explain the relationship between the x and y intercepts and the general form of a quadratic function. Then demonstrate this relationship in the following:
By using the fact that the set of all rational numbers is countable, and subsets of countable sets are at most countable, prove that every collection of non-empty disjoint open intervals in R is a collection of at most countably many intervals.
Please solve in lowest terms with parenthesis if necessary:
Matching the polynomial function with graph.
He lost $45 an hour. Use real numbers to represent the change in Nick's financial status at the end of 12 h. Compose a note explaining how you arrived at the solution. What difficulties (if any) did you encounter?
The Soccer Boosters club sells hotdogs and hamburgers at the games to raise funds for the soccer team. Chili Cheese Hotdogs sell for $3.00 and hamburgers sell for $2.50.
Solve the equation algebraically
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