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Automorphisms of the integral group ring of ๐‘†_{๐‘›}

Automorphisms of the integral group ring of ๐‘†_{๐‘›}

In this paper it is shown that every normalized automorphism of the integral group ring of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper S Subscript n"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>S</mml:mi> <mml:mi>n</mml:mi> </mml:msub> </mml:mrow> <mml:annotation encoding="application/x-tex">{S_n}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> can be written as a group automorphism followed by conjugation by a unit โ€ฆ