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Fc(K)40 b Fg(gelte)32 b(1)22 b(+)g(1)27 b Fe(6)p Fg(=)h(0.)609 1994 y(\(a\))48 b(Sei)38 b Fc(a)e Fe(2)h Fc(L)26 b Fe(n)g Fc(K)7 b Fg(.)38 b(Zeigen)f(Sie,)g(da\031)h Fc(a)2202 1958 y Fb(2)2279 1994 y Fg(eine)g(Lineark)m(om)m(bination)d (v)m(on)k(1)782 2114 y(und)33 b Fc(a)1064 2118 y Fg(\177)1061 2114 y(ub)s(er)g Fc(K)40 b Fg(ist.)603 2268 y(\(b\))49 b(Finden)32 b(Sie)h(ein)f(Elemen)m(t)g Fc(b)c Fe(2)g Fc(L)23 b Fe(n)f Fc(K)40 b Fg(mit)30 b Fc(b)2475 2232 y Fb(2)2543 2268 y Fe(2)e Fc(K)7 b Fg(.)614 2422 y(\(c\))49 b(Zeigen)32 b(Sie,)g(da\031)h(es)g(ein)f Fc(\033)g Fe(2)c Fg(Aut\()p Fc(L=K)7 b Fg(\))33 b(mit)e Fc(\033)t Fg(\()p Fc(b)p Fg(\))d(=)f Fe(\000)p Fc(b)34 b Fg(gibt.)603 2576 y(\(d\))49 b(Zeigen)32 b(Sie,)g(da\031)h Fc(L=K)40 b Fg(galoissc)m(h)31 b(ist.)614 2730 y(\(e\))49 b(Sei)25 b Fc(\020)34 b Fg(:=)1150 2690 y Fb(1)p 1150 2707 36 4 v 1150 2764 a(2)1195 2730 y Fg(\()p Fe(\000)p Fg(1)6 b(+)g Fc(i)1480 2647 y Fe(p)p 1564 2647 49 4 v 1564 2730 a Fg(3\).)24 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