Scattering diagrams, tight gradings, and generalized positivity. [PDF]
Burcroff A, Lee K, Mou L.
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Principal bundle geometry of qualia: Understanding the quality of consciousness from symmetry. [PDF]
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Controlling LEF growth in some group extensions. [PDF]
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Finiteness properties of automorphism spaces of manifolds with finite fundamental group. [PDF]
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Automorphisms of Automorphism Group of Dihedral Groups
Creative Mathematics and Informatics, 2023The automorphism group of a Dihedral group of order 2n is isomorphic to the holomorph of a cyclic group of order n. The holomorph of a cyclic group of order n is a complete group when n is odd. Hence automorphism groups of Dihedral groups of order 2n are its own automorphism groups whenever n is odd. In this paper, we prove that the result is also true
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FINITE GROUPS WITH CENTRAL AUTOMORPHISM GROUP OF MINIMAL ORDER
Mathematical Proceedings of the Royal Irish Academy, 2022:For any group G, the centre of the inner automorphism group, Z(Inn(G)) is always contained in the group Autc (G) of central automorphisms of G. In this paper we consider finite groups for which this lower bound is attained, that is Autc (G) = Z(Inn(G)),
M. Curran
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