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Characterizing inner automorphisms of groups
Archiv der Mathematik, 1990P. E. Schupp has shown, using small cancellation theory, that the inner automorphisms of a group G are characterized by the fact that they extend to any group which contains G as a subgroup. Here we record an elementary proof of Schupp's result based on a graph construction and an associated group presentation.
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CENTRAL AUTOMORPHISMS THAT ARE ALMOST INNER
Communications in Algebra, 2001An automorphism σ of a group G is central if σ commutes with every automorphism in Inn(G), the group of inner automorphisms of G, or equivalently, if g −1 σ(g) lies in the centre Z(G) of G, for all...
M. J. Curran, D. J. McCaughan
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Automorphisms and Finite Inner Maps
1998The group Aut G and the semigroup Hol G, which were already studied in 8.4, are central to Sections 1 and 2. For bounded domains G, every sequence fn ∈ Hol G has a convergent subsequence (Montel); this fact has surprising consequences. For example, in H.
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Loops Whose Inner Mappings are Automorphisms
The Annals of Mathematics, 1956Bruck, R. H., Paige, Lowell J.
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Structure of the essential inner membrane lipopolysaccharide–PbgA complex
Nature, 2020Thomas Clairfeuille +2 more
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The merger that led to the formation of the Milky Way’s inner stellar halo and thick disk
Nature, 2018Amina Helmi +2 more
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Connectomic reconstruction of the inner plexiform layer in the mouse retina
Nature, 2013Moritz Helmstaedter +2 more
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Ecosystem stability and compensatory effects in the Inner Mongolia grassland
Nature, 2004Yongfei Bai, Xingguo Han
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