• East Asian mathematical journal
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• v.31 no.3
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• pp.363-370
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• 2015

The automorphism group of domains is main stream of classification problem coming from E. Cartan's work. In this paper, I introduce classical technique of computations of automorphism group of domains and recent development of automorphism group. Moreover, I suggest new research problems in computations of automorphism group.

• Korean Journal of Mathematics
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• v.22 no.3
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• pp.583-590
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• 2014

In this paper we give some relationships between quasi-Ellis groups and some subgroups of the automorphism group. In particular, we investigate several characterizations on some subgroups of the automorphism group.

• Korean Journal of Mathematics
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• v.17 no.4
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• pp.487-493
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• 2009

We study the group structure of the automorphism group of the ternary self-dual tetracode of length 4.

• Bulletin of the Korean Mathematical Society
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• v.60 no.6
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• pp.1427-1437
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• 2023

It is known that the automorphism group of a K3 surface with Picard number two is either an infinite cyclic group or an infinite dihedral group when it is infinite. In this paper, we study the generators of such automorphism groups. We use the eigenvector corresponding to the spectral radius of an automorphism of infinite order to determine the generators.

• East Asian mathematical journal
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• v.28 no.3
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• pp.347-352
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• 2012

In this paper, we introduce techniques for computations of the automorphism group of special doamins, for example the Kohn-Nirenberg domain, Fornaess domain and Cartan Hartogs domain.

• Nonlinear Functional Analysis and Applications
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• v.27 no.4
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• pp.921-925
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• 2022

In this paper, we completely describe the automorphism group of the bounded Kohn-Nirenberg domain in [5].

• Journal of the Korean Mathematical Society
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• v.60 no.6
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• pp.1171-1213
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• 2023

This work is a continuation of Crisp's work on automorphism groups of CLTTF Artin groups, where the defining graph of a CLTTF Artin group is connected, large-type, and triangle-free. More precisely, we provide an explicit presentation of the automorphism group of an edge-separated CLTTF Artin group whose defining graph has no separating vertices.

• Journal of the Chungcheong Mathematical Society
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• v.27 no.2
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• pp.287-295
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• 2014

In this paper, we prove that the image of the representation of the automorphism group of a supersingular K3 surface of Artin-invariant 1 over odd characteristic p on the global two forms is a finite cyclic group of order p + 1. Using this result, we deduce, for such a K3 surface, there exists an automorphism which cannot be lifted over a field of characteristic 0.

• Communications of the Korean Mathematical Society
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• v.11 no.3
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• pp.575-584
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• 1996

We investigate how the code automorphism groups can be used to study such combinatorial objects as codes, finite projective planes and Hadamard matrices. For this purpose, we write down a computer program for computing code automorphisms in PASCAL language. Then we study the combinatorial properties using those code automorphism group algorithms and the relationship between combinatorial objects and codes.

• Communications of the Korean Mathematical Society
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• v.27 no.4
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• pp.653-664
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• 2012

We study the abstract structure of the automorphism group of the ternary self-dual code of length 8 and give its convenient presentation by generators.