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For G=GL(2,R), for f, show that f is not an inner automorphism
mmm if g(M) for M in the centre of Z(G), that implies that M=BMB^-1 or that MB=BM?- mathnerd1
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- Forum: Calculus and Beyond Homework Help
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For G=GL(2,R), for f, show that f is not an inner automorphism
1. Homework Statement : Let G=GL(2,R) and define f:G->G by f(A)=(A^tr)^-1, where A^tr represents the transpose of A for all A in GL(2,R). Prove that f is not an inner automorphism, hence prove that there does not exist a fixed matrix B in G such that f(A)=BAB^-1 for all A in G 2. Homework...- mathnerd1
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- Forum: Calculus and Beyond Homework Help