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sosiologi kelas xi Category:Sociology by subject Category:Social sciences literatureQ: Let $G$ be an abelian group of order $n$, and let $H$ be a subgroup of $G$. Prove that if $|H|leq n/2$, then $G=H$. Let $G$ be an abelian group of order $n$, and let $H$ be a subgroup of $G$. Prove that if $|H|leq n/2$, then $G=H$. I need some hint to solve this problem. Thanks A: A subgroup of a cyclic group of order $n$ can not be of order $n/2$. Therefore $H$ has order $n/2$. But $H$ is contained in $G$. Therefore $H=G$. sidnee, out of a mysterious last-minute offer from a high-level Atlético Madrid official – a transaction that he, moreover, did not specifically request. It’s just one of many such inconsistencies he has had to field since joining from Boca Juniors in 2010. But, it’s by no means the first. There’s another thing to add to that murky story: That the day after Brazil’s deadly Confederations Cup final, as he was in England with Gabi and the national team, Di Maria was informed by the management at Atlético that he was not up to the task of playing for his country any more. They told him that he wasn’t, not in this tournament, anyway. This despite the fact that he’d played superbly in the semi-final, his first-half hat-trick the reason for the French side’s demise. They also let it be known that they had checked out several other possible options. The great Frank Lampard is reportedly interested in Di Maria too, as is Luis García, the former Manchester City midfielder. Meanwhile, it was reported that Manchester United had offered £40m. Di Maria was expected to talk to them about his future soon. But, at some point, the relationship between the player and his new side broke down, and Di Maria just stopped answering his phone. “It was a hard moment,” he admits now. “I started

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