• Title/Summary/Keyword: homology group

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NONABELIAN GROUP ACTIONS ON 3-DIMENSIONAL NILMANIFOLDS REVERSING FIBER ORIENTATION

  • Koo, Daehwan;Lee, Taewoong;Shin, Joonkook
    • Journal of the Chungcheong Mathematical Society
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    • v.31 no.4
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    • pp.475-486
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    • 2018
  • We study free actions of finite nonabelian groups on 3-dimensional nilmanifolds with the first homology ${\mathbb{Z}}^2{\bigoplus}{\mathbb{Z}}_2$ which yield an orbit manifold reversing fiber orientation, up to topological conjugacy. We show that those nonabelian groups are $D_4$(the dihedral group), $Q_8$(the quaternion group), and $C_8.C_4$(the $1^{st}$ non-split extension by $C_8$ of $C_4$ acting via $C_4/C_2=C_2$).

Cloning and Identification of a New Group Esterase (Est5S) from Noncultured Rumen Bacterium

  • Kim, Min Keun;Kang, Tae Ho;Kim, Jungho;Kim, Hoon;Yun, Han Dae
    • Journal of Microbiology and Biotechnology
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    • v.22 no.8
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    • pp.1044-1053
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    • 2012
  • The gene encoding an esterase enzyme was cloned from a metagenomic library of cow rumen bacteria. The esterase gene (est5S) was 1,026 bp in length, encoding a protein of 366 amino acid residues with a calculated molecular mass of 40,168 Da. The molecular mass of the enzyme was estimated to be 40,000 Da. The Est5S protein contains the Gly-X-Ser-X-Gly motif found in most bacterial and eukaryotic serine hydrolases. However, the Asp or Glu necessary for the catalytic triad [Ser-Asp-(Glu)-His] was not present, indicating Est5S represents a novel member of the GHSQG family of esterolytic enzymes. BlastP in the NCBI database analysis of Est5S revealed homology to hypothetical proteins and it had no homology to previous known lipases and esterases. Est5S was optimally active at pH 7.0 and $40^{\circ}C$. Among the p-nitrophenyl acylesters tested, high enzymatic activities were observed on the short-chain p-nitrophenyl acylesters, such as p-nitrophenyl acetate, etc. The conserved serine residue ($Ser_{190}$) was shown to be important for Est5S activity. The primers that amplified the est5S gene did not show any relative band with 49 species of culturable rumen bacteria. This implies that a new group esterase gene, est5S, may have come from a noncultured cow rumen bacterium.

GOTTLIEB GROUPS AND SUBGROUPS OF THE GROUP OF SELF-HOMOTOPY EQUIVALENCES

  • Kim, Jae-Ryong;Oda, Nobuyuki;Pan, Jianzhong;Woo, Moo-Ha
    • Journal of the Korean Mathematical Society
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    • v.43 no.5
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    • pp.1047-1063
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    • 2006
  • Let $\varepsilon_#(X)$ be the subgroups of $\varepsilon(X)$ consisting of homotopy classes of self-homotopy equivalences that fix homotopy groups through the dimension of X and $\varepsilon_*(X) $ be the subgroup of $\varepsilon(X)$ that fix homology groups for all dimension. In this paper, we establish some connections between the homotopy group of X and the subgroup $\varepsilon_#(X)\cap\varepsilon_*(X)\;of\;\varepsilon(X)$. We also give some relations between $\pi_n(W)$, as well as a generalized Gottlieb group $G_n^f(W,X)$, and a subset $M_{#N}^f(X,W)$ of [X, W]. Finally we establish a connection between the coGottlieb group of X and the subgroup of $\varepsilon(X)$ consisting of homotopy classes of self-homotopy equivalences that fix cohomology groups.

FREE ACTIONS OF FINITE GROUPS ON 3-DIMENSIONAL NILMANIFOLDS WITH HOMOTOPICALLY TRIVIAL TRANSLATIONS

  • Koo, Daehwan;Park, Eunmi;Shin, Joonkook
    • Journal of the Chungcheong Mathematical Society
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    • v.33 no.1
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    • pp.113-132
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    • 2020
  • We show that if a finite group G acts freely with homotopically trivial translations on a 3-dimensional nilmanifold 𝓝p with the first homology ℤ2 ⊕ ℤp, then either G is cyclic or there exist finite nonabelian groups acting freely on 𝓝p which yield orbit manifolds homeomorphic to 𝓝/𝜋3 or 𝓝/𝜋4.

ON ACTION SPECTRUM BUNDLE

  • Cho, Yong-Seung;Yoon, Jin-Yue
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.4
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    • pp.741-751
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    • 2001
  • In this paper when $(M, \omega)$ is a compact weakly exact symplectic manifold with nonempty boundary satisfying $c_1|{\pi}_2(M)$ = 0, we construct an action spectrum bundle over the group of Hamil-tonian diffeomorphisms of the manifold M generated by the time-dependent Hamiltonian vector fields, whose fibre is nowhere dense and invariant under symplectic conjugation.

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Genomic Analysis of Actinomyces sp. Strain CtC72, a Novel Fibrolytic Anaerobic Bacterium Isolated from Cattle Rumen

  • Joshi, Akshay;Vasudevan, Gowdaman;Engineer, Anupama;Pore, Soham;Hivarkar, Sai Suresh;Lanjekar, Vikram Bholanath;Dhakephalkar, Prashant Kamalakar;Dagar, Sumit Singh
    • Microbiology and Biotechnology Letters
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    • v.46 no.1
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    • pp.59-67
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    • 2018
  • A xylanolytic and cellulolytic anaerobic bacterium strain CtC72 was isolated from cattle rumen liquor. Phylogenetic analysis of 16S rRNA gene sequences revealed that strain CtC72 shared only 97.78% homology with its nearest phylogenetic affiliate Actinomyces ruminicola, showing its novelty. The strain could grow on medium containing xylan, carboxymethyl cellulose and avicel producing $CO_2$, acetate, and ethanol as major fermentation products. The whole genome analysis of the strain CtC72 exhibited a broad range of carbohydrate-active enzymes required for the breakdown and utilization of lignocellulosic biomass. Genes related to the production of ethanol and stress tolerance were also detected. Further there were several unique genes in CtC72 for chitin degradation, pectin utilization, sugar utilization, and stress response in comparison with Actinomyces ruminicola. The results show that the strain CtC72, a putative novel bacterium can be used for lignocellulosic biomass based biotechnological applications.

ON THE HOMOLOGY OF THE MODULI SPACE OF $G_2$ INSTANTONS

  • Park, Young-Gi
    • Communications of the Korean Mathematical Society
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    • v.9 no.4
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    • pp.933-944
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    • 1994
  • Let $\pi : P \to S^4$ be a principal G-bundle over $S^4$ whose the structure group G is a compact, connected, simple Lie group. Since $\pi_3(G) = \pi_4 (BG) = Z$, we can classify the principal bundle $P_k$ over $S^4$ by the map $S^4 \to BG$ of degree k. Atiyah and Jones [2] showed that $C_k = A_k/g^b_k$ is homotopy equivalent to $\Omega^3_k G \simeq \Omega^4_k BG$ where $A_k$ is the space of the all connections in $P_k$ and $g^b_k$ is the based gauge group which consists of all base point preserving automorphisms on $P_k$. Here $\Omega^nX$ is the space of all base-point preserving continuous map from $S^n$ to X. Let $M_k$ be the space of based gauge equivalence classes of all connections in $P_k$ satisfying the Yang-Mills self-duality equations, which we call the moduli space of G instantons.

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Isolation of Dextran-producing Leuconostoc Zactis from Kimchi

  • Kim, Bong-Joon;Min, Bong-Hee;Kim, Jeongho;Han, Hong-Ui
    • Journal of Microbiology
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    • v.39 no.1
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    • pp.11-16
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    • 2001
  • Tentative identification of Leuconostoc lactis IH23 isolated from kimchi (a fermented vegetable product) has been described previously with 16S rDNA sequencing (Choi, 1., M. Sc. Thesis Inha Univ.1999). This strain produced the slime identified as dextran based on IR, $\^$13/C- and $^1$H-NMR spectroscopic results. Further study proved that the isolate IH23 belongs to a homogeneous genetic group with L. lactis DSM 20202$\^$T/ and L. argentinum DSM 8581$\^$T/. The results showed DNA-DNA homology of 99-100%, 16S rDNA gene sequence similarity (97.7% ), and a phylogenetic relationship although L. argentinum DSM 8581$\^$T/ had lower homology (80-91%). These data indicate that L. argentinum DSM 8581$\^$T/ and the isolate IH23 belong to an identical species with L. lactis DSM 20202$\^$T/at the genetic level, although in carbohydrate fermentation, the isolate IH23 was mast closely related to L. argentinum DSM 8581$\^$T/ and quite different from L. lactis DSM 20202$\^$T/. Here we first report the isolation of consistent phenotypic variation in Leuconostoc lactis. We also emphasize that the nomenclature of subspecies needs to be differentiated into the three strains mentioned above in Leuconostoc lactis.

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Genomic Structure of the Cu/Zn Superoxide Dismutase(SOD1) Gene from the Entomopathogenic Fungus, Cordyceps pruinosa

  • Park, Nam Sook;Jin, Byung Rae;Lee, Sang Mong
    • International Journal of Industrial Entomology and Biomaterials
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    • v.39 no.2
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    • pp.67-73
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    • 2019
  • The genomic structure of the Cu/Zn superoxide dismutase (SOD1) gene from the entomopathogenic fungus, Cordyceps pruinosa was characterized. The SOD1 gene of C. pruinosa spans 947 nucleotides and consisted of four exons encoding for 154 amino acids and three introns. Four exons of the SOD1 gene are composed of 13, 331, 97 and 20 nucleotides respectively. Homology search of amino acid sequences of the SOD1 gene of C. pruinosa with another 13 fungi species showed higher sequence similarity of 69% ~ 95% and had the most highest sequence identity of 95% with Beauveria bassiana and Cordyceps militaris, which can easely infect domesticated Bombyx mori and another wild lepidopteran species in artificial or natual manner of infection. This SOD1 gene sequence showed copper, zinc and beta-barrel fold sites. Homology search showed that the Cu/Zn SOD1 gene from the entomopathogenic fungus, C. pruinosa is an orthologous gene homolog present in different species of organism whose ancestor predates the split between the relating species. In addition, C. pruinosa SOD1 gene is placed together within the ascomycetes group of fungal clade. From these results it is concluded that C. pruinosa SOD1 gene is orthologous gene having the same or very similar functions with a common evolutionary ancestor.

cDNA Cloning and Nucleotide Sequence Determination for VP7 Coding RNA Segment of Human Rotavirus Isolated in Korea (한국에서 분리된 사람 로타바이러스의 VP7 코딩 RNA 분절의 cDNA 합성과 염기서열 결정)

  • Kim, Young Bong;Kim, Kyung Hee;Yang Jai Myung
    • Korean Journal of Microbiology
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    • v.30 no.5
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    • pp.397-402
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    • 1992
  • The cDNA of RNA segment coding for VP7 of human rotavirus isolated from patient's stool at Seoul area was synthesized, amplified by polymerase chain reaction, field in with Klenow fragment of DNA polymerase I and cloned into pUC19. The cDNA sequence was determined and compared with that of VP7 coding RNA segments of group A rotaviruses isolates in foreign country. Over 90% sequence homology was found with serotyppe I sepcific WA1 and RE9 strains. Comparative analysis of the deduced amino acid sequences within the two variable regions (amino acid residue 87 through 101 and 208 through 221) with WA1 and RE9 strains also showed high degree of sequence similarity with each other.

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