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On Extension of a Regular Automorphism
Given a regular automorphism of a normal abelian subgroup of a periodic group, we find some sufficient conditions for the possibility of extending...
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On the injectivity of the homomorphisms from the automorphism groups of fields to the outer automorphism groups of the absolute Galois groups
In the present paper, we discuss the injectivity of the natural homomorphism from the automorphism group of a given field to the outer automorphism...
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Cohomology-developed matrices: constructing families of weighing matrices and automorphism actions
The aim of this work is to construct families of weighing matrices via their automorphism group action. The matrices can be reconstructed from the...
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On the Virtual Potency of Automorphism Groups and Split Extensions
We obtain some sufficient conditions for potency and virtual potency for automorphism groups and the split extensions of some groups. In particular,...
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On the Automorphism Groups for Some Leibniz Algebras of Low Dimensions
We study the automorphism groups of Leibniz algebras of low dimensions and obtain complete descriptions of the automorphism groups of Leibniz...
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On the Automorphism Groups of Certain Branched Structures on Surfaces
We consider translation surfaces with poles on surfaces. We shall prove that any finite group appears as the automorphism group of some translation...
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Automorphism groups of cyclic orbifold vertex operator algebras associated with the Leech lattice and some non-prime isometries
We determine the automorphism groups of the cyclic orbifold vertex operator algebras associated with coinvariant lattices for isometries of the Leech...
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On the Automorphism Group of the Substructure Ordering of Finite Directed Graphs
We investigate the automorphism group of the substructure ordering of finite directed graphs. The second author conjectured that it is isomorphic to...
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On the liftability of the automorphism group of smooth hypersurfaces of the projective space
Let X be a smooth hypersurface of dimension n ≥ 1 and degree d ≥ 3 in the projective space given as the zero set of a homogeneous form F . If ( n , d ) ≠...
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Small posets with prescribed automorphism group
We give an alternative proof of a result of Babai, that there exists a constant c such that any finite group G can be realized as the automorphism...
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Three infinite families of chiral 4-polytopes with symmetric automorphism groups
In this paper, we give three infinite families of chiral 4-polytopes, with the automorphism group of each member of a family being symmetric. This...
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Invariant Measures for Large Automorphism Groups of Projective Surfaces
We classify invariant probability measures for non-elementary groups of automorphisms, on any compact Kähler surface X , under the assumption that the...
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On the outer automorphism groups of the absolute Galois groups of mixed-characteristic local fields
In the present paper, we study the outer automorphism groups of the absolute Galois groups of mixed-characteristic local fields from the point of...
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Automorphism groups and normal forms in Normaliz
We discuss the computation of automorphism groups and normal forms of cones and polyhedra in Normaliz and indicate its implementation via nauty. The...
