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 · Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields It only takes a minute to sign upY2Y O(y) (d*) Suppose that Gacts transitively on X(ie for any x2X, O(x) = X) In addition, suppose that jXj>1 Show that there exists g2Gsuch that gx6=xfor any x2X (e) Let g2G De ne a map g G!Gas follows for any h2G, g(h) = ghg 1 Show that g is an automorphism and that g7!@ i Q j w K ʂ m ߂ T e X g C t I @ @ @ @ q C Ȏ󌱗p e L X g( S E T ) ɂ́A ǎ҂ Ŋw K ʂ m ߂ T e X g ȖڕʏC ( ̓_ Ɖ𓚕t j t Ă ܂ @ i R j Ǝ Ɏ M L x � Technical Font Digital Alphabet Letters B Stock Vector Royalty Free ƒZƒ~ƒƒ"ƒO ƒƒ"ƒY "¯Œ^ ƒƒ"ƒO ƒXƒgƒŒ[ƒg