• 대한수학회보
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• 제51권4호
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• pp.1063-1073
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• 2014

A finite group G is called a $\mathcal{QNS}$-group if every minimal subgroup X of G is either quasinormal in G or self-normalizing. In this paper the authors classify the non-$\mathcal{QNS}$-groups whose proper subgroups are all $\mathcal{QNS}$-groups.

• 대한수학회지
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• 제46권6호
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• pp.1165-1178
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• 2009

In this paper we classify finite groups whose nonnormal subgroups are of order p or pq, where p, q are primes. As a by-product, we also classify the finite groups in which all nonnormal subgroups are cyclic.

• 대한수학회보
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• 제57권2호
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• pp.449-457
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• 2020

The aim of this short paper is to show some rigidity results for the actions of certain finitely presented groups by homeomorphisms. As an interesting and special case, we show that the actions of Higman-Thompson groups by homeomorphisms on a cohomology manifold with a non-zero Euler characteristic should be trivial. This is related to the wellknown Zimmer program and shows that the actions by homeomorphism could be very much different from those by diffeomorphisms.

• 대한수학회보
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• 제57권1호
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• pp.195-206
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• 2020

The fundamental idea of this article is to present an effective way to obtain the large groups in terms of the split extension obtained by a finite cyclic group and a free abelian group rank 2. The proof of the main result on largeness property of this specific split extension groups will be given by using the connection of large groups with the groups having deficiency one presentations.

• East Asian mathematical journal
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• 제19권1호
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• pp.151-164
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• 2003

Throughout this paper, we will consider that R is a near-ring and G is an R-group. We initiate the study of monogenic and strongly monogenic R-groups and their basic properties. Also, we investigate some properties of D.G. R-groups, faithful R-groups and monogenic R-groups and we determine that when near-rings are rings.

• 한국결정학회지
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• 제6권1호
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• pp.56-62
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• 1995

32개 점군은 중심대칭(centrosummetric)을 갖는 11가지 점군(Laue군)과 21개의 비대칭중심(noncentrosymmtric)점군으로 이루어졌다. 본 연구에서는 21개 비대칭중심점군 각각의 등가회절면(등가역격자점)들을 유도하였다.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제10권2호
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• pp.103-118
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• 2003

We estimate the stable rank of twisted crossed products of $C^{*}-algebras$ by topological Abelian groups. As an application we estimate the stable rank of twisted crossed products of $C^{*}-algebras$ by solvable Lie groups. In particular, we obtain the stable rank estimate of twisted group $C^{*}-algebras$ of solvable Lie groups by the (reduced) dimension and (generalized) rank of groups.

• 대한수학회지
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• 제56권3호
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• pp.739-750
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• 2019

We proved that finite p-groups in the title coincide with finite p-groups all of whose non-abelian subgroups are generated by two elements. Based on the result, finite p-groups all of whose subgroups of class 2 are minimal non-abelian (of the same order) are classified, respectively. Thus two questions posed by Berkovich are solved.

• Bulletin of the Korean Chemical Society
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• 제12권2호
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• pp.196-199
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• 1991

Attempts were made to develop new protecting groups for 1,6-lactam function of 2-N-acyl guanine in oligodeoxyribonucleotide synthesis. Several acyl groups, aryl groups, and carbamoyl groups were tested. Dimethylcarbamoyl and phenylacetyl groups are shown to be a good combination for guanine residue. 6-O-Di-methylcarbamoyl-2-N-pheylacetyl-2'-deoxy guanosine have been successfully used in the synthesis of d[AAGCTT], which is Hind Ⅲ recognition sequence.

• Korean Journal of Mathematics
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• 제30권3호
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• pp.513-524
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• 2022

In this paper, we introduce the notion of tensor product in groups and prove its existence and uniqueness. Next, we provide the Isbell's zigzag theorem for dominions in commutative groups. We then show that in the category of commutative groups dominions are trivial. This enables us to deduce a well known result epis are surjective in the category of commutative groups.