• 충청수학회지
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• 제32권3호
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• pp.365-381
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• 2019

We study free actions of finite nonabelian groups on 3-dimensional nilmanifolds with the first homology ${\mathbb{Z}}^2{\oplus}{\mathbb{Z}}_2$, up to topological conjugacy. We show that there exist three kinds of nonabelian group actions in ${\pi}_1$, two in ${\pi}_2$ or ${\pi}_{5,i}$(i = 1, 2, 3), one in the other cases, and clarify what those groups are.

• 대한수학회지
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• 제57권5호
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• pp.1061-1078
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• 2020

We prove some results about the finiteness of co-associated primes of generalized local homology modules inspired by a conjecture of Grothendieck and a question of Huneke. We also show some equivalent properties of minimax local homology modules. By duality, we get some properties of Herzog's generalized local cohomology modules.

• 대한수학회보
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• 제53권3호
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• pp.751-763
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• 2016

The properties of the nonabelian tensor products are interesting in different contexts of algebraic topology and group theory. We prove two theorems, dealing with the nonabelian tensor products of projective limits of finite groups. The first describes their topology. Then we show a result of embedding in the second homology group of a pro-p-group, via the notion of complete exterior centralizer. We end with some open questions, originating from these two results.

• 대한수학회지
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• 제39권1호
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• pp.149-161
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• 2002

We study the torsions in the integral homology of the double loop space of the compact simple Lie groups by determining the higher Bockstein actions on the homology of those spaces through the Bockstein lemma and computing the Bockstein spectral sequence.

• 호남수학학술지
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• 제24권1호
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• pp.93-101
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• 2002

The $S^1$-Eule characteristics of X is defined by $\bar{\chi}_{S^1}(X)\;{\in}\;HH_1(ZG)$, where G is the fundamental group of connected finite $S^1$-compact manifold or connected finite $S^1$-finite complex X and $HH_1$ is the first Hochsch ild homology group functor. The purpose of this paper is to find several cases which the $S^1$-Euler characteristic has a homotopic invariant.

• 대한수학회지
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• 제56권5호
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• pp.1265-1283
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• 2019

We develop a framework to construct geometric representations of finite groups G through the correspondence between real toric spaces $X^{\mathbb{R}}$ and simplicial complexes with characteristic matrices. We give a combinatorial description of the G-module structure of the homology of $X^{\mathbb{R}}$. As applications, we make explicit computations of the Weyl group representations on the homology of real toric varieties associated to the Weyl chambers of type A and B, which show an interesting connection to the topology of posets. We also realize a certain kind of Foulkes representation geometrically as the homology of real toric varieties.

• 호남수학학술지
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• 제21권1호
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• pp.157-169
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• 1999

For a k-connected inverse system $({\scr{X}},\;*)=((X_{\lambda},\;*),p_{{\lambda}{{\lambda}}^{\prime}},\;{\Lambda})$ of pointed topological spaces and pointed preserving weak fibrations, inducting epimorphic chain maps, over a directed set, we show that the homotopy group ${\pi}_k(lim{\scr{X}},\;*)$ of the inverse limit is isomorphic to the integral homology group $$H_k(lim{\scr{X}};\mathbb{Z})$. Using the result of S. $Marde{\check{s}}i{\acute{c}}$, we prove that the group of pure extension $Pext(colimH^n({\scr{X}},\;A)$ is isomorphic to the group of extension $Ext({\Delta}({\lambda}),\;Hom(H^n({\scr{X}}),\;A))$.

• 한국가금학회지
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• 제27권2호
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• pp.91-98
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• 2000

Phylogenetic tree constructed from the nucleotide sequences of the S1 gene showed that the 15 Korean strains of infectious bronchitis virus(IBV) examined were classified into 2 genetically distinct groups, except one respiratory strain, RB86, which was clustered with Massachusetts group. All the 5 respiratory strains belonged to Korean group I and the rest 9 nephropathogenic strains belonged to Korean group II according to the analysis, based on S1 gene sequences. Like previous classifications corresponded with the geographic origin, Korean stains were discriminated from geographically distinct reference strains of IBV. The nephropathogenic strains within Korean group IIsharing 96% homology were continuously isolated since 1990, and seemed to be genetically stable. Whereas the respiratory strains within Korean group Ⅰ sharing 88% homology were sporadically isolate since 1986m and seemed to be genetically unstable. Because we found putative accumulated point mutation as well as recombination events in Korean group Ⅰ, we discussed why genetic variations have often occurred in respiratory strains rather than nephropathognic strains.

• 대한수학회논문집
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• 제21권2호
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• pp.337-345
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• 2006

John Harer conjectured that the canonical map from braid group to mapping class group induces zero homology homomorphism. To prove the conjecture it suffices to show that this map preserves the first Araki-Kudo-Dyer-Lashof operation. To get information on this homology operation we need to investigate the image of braiding under the Harer map. The main result of this paper is to give both algebraic and geometric interpretations of the image of braiding under the Harer map. For this we need to calculate long chains of consecutive actions of Dehn twists on the fundamental group of surface.

• 식물조직배양학회지
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• 제26권1호
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• pp.41-47
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• 1999

토마토의 genomic DNA library로부터 분리한 tPALl, tPAL4유전자의 염기서열을 분석하여 tPAL5 유전자와 비교 분석한 결과는 다음과 같다. tPAL5 유전자는 722개의 아미노산과 710 bp의 intron을 가지고 있으나 tPALl은 intron을 가지고 있지 않으며 또한 tPAL5 유전자와 비교하여 249개의 짧은 polypeptide를 가지고 있었다. tPAL4유전자인 경우 357개의 아미노산과 305bp의 intron을 가지고 있었다. tPAL 효소간의 아미노산 homology는 tPAL1유전자와 tPAL4 유전자간은 87.2%, tPALl과 tPAL5는 85.3%, tPAL4 와 tPAL5 는 91.4%의 homology를 보였다. 또한, tPALl, tPAL4 유전자는 정상적인 polypeptide를 가지는 tPAL5유전자와 비교하여 비정상적인 stop codon을 가진 짧은 polypeptide로 구성되어 있었다. 다양한 식물 종으로부터 분리된 PAL유전자의 염기서열을 비교한 결과 토마토 (Lycopersicon esculentum), 감자 (Solanum tuberosum), 고구마 (Ipomoea batatas)간의 유연관계과 높았으며, parsley (Petroselinum crispum), bean (Phaseolus vulgaris), pea (Pisum sativum), alfalfa (Medicago sativa) 등이 각각 서로간에 유연관계가 높았다. 또한, 토마토에서 분리한 family내에서 tPAL4와 tPAL5 유전자는 homology가 매우 높았고 (93.0%), tPAL1와 tPAL4유전자 사이는 다소 낮았으며 (84.4%), 특히 tPAL4는 감자의 PAL 유전자와 매우 높았다 (90.6%).