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Isometry groups and mapping class groups of spherical 3-orbifolds

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1 Published in 2018 at "Mathematische Zeitschrift"

DOI: 10.1007/s00209-018-2166-2

Abstract: We study the isometry groups of compact spherical orientable 3-orbifolds $$S^3/G$$S3/G, where G is a finite subgroup of $$\mathrm {SO}(4)$$SO(4), by determining their isomorphism type. Moreover, we prove that the inclusion of $$\text{ Isom }(S^3/G)$$Isom(S3/G)… read more here.

Keywords: spherical orbifolds; isometry groups; class groups; mapping class ... See more keywords

3-rank of ambiguous class groups of cubic Kummer extensions

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1 Published in 2020 at "Periodica Mathematica Hungarica"

DOI: 10.1007/s10998-020-00326-1

Abstract: Let $$k=k_0(\root 3 \of {d})$$ k = k 0 ( d 3 ) be a cubic Kummer extension of $$k_0=\mathbb {Q}(\zeta _3)$$ k 0 = Q ( ζ 3 ) with $$d>1$$ d > 1… read more here.

Keywords: rank ambiguous; ambiguous class; cubic kummer; class groups ... See more keywords

Properties of a class of groups on Zm

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1 Published in 2017 at "Wuhan University Journal of Natural Sciences"

DOI: 10.1007/s11859-017-1210-0

Abstract: In this paper, we obtain the factorization of direct production and order of group GL(n, Zm) in a simple method. Then we generalize some properties of GL(2, Zp) proposed by Huppert, and prove that the… read more here.

Keywords: properties class; group; class groups;

Form class groups for extended ring class fields

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1 Published in 2019 at "Journal of Number Theory"

DOI: 10.1016/j.jnt.2018.06.011

Abstract: Abstract Let L be an extended ring class field of an imaginary quadratic field K other than Q ( − 1 ) and Q ( − 3 ) . We show that there is a… read more here.

Keywords: form class; groups extended; ring class; class ... See more keywords

Three families of toric rings arising from posets or graphs with small class groups

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2 Published in 2022 at "Journal of Pure and Applied Algebra"

DOI: 10.1016/j.jpaa.2022.107079

Abstract: The main objects of the present paper are (i) Hibi rings (toric rings arising from order polytopes of posets), (ii) stable set rings (toric rings arising from stable set polytopes of perfect graphs), and (iii)… read more here.

Keywords: small class; toric rings; class groups; posets graphs ... See more keywords

Big mapping class groups and rigidity of the simple circle

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1 Published in 2021 at "Ergodic Theory and Dynamical Systems"

DOI: 10.1017/etds.2020.43

Abstract: Let $\unicode[STIX]{x1D6E4}$ denote the mapping class group of the plane minus a Cantor set. We show that every action of $\unicode[STIX]{x1D6E4}$ on the circle is either trivial or semiconjugate to a unique minimal action on… read more here.

Keywords: big mapping; simple circle; class groups; mapping class ... See more keywords

Fukaya categories of surfaces, spherical objects and mapping class groups

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1 Published in 2021 at "Forum of Mathematics, Sigma"

DOI: 10.1017/fms.2021.21

Abstract: Abstract We prove that every spherical object in the derived Fukaya category of a closed surface of genus at least $2$ whose Chern character represents a nonzero Hochschild homology class is quasi-isomorphic to a simple… read more here.

Keywords: class; fukaya categories; fukaya category; categories surfaces ... See more keywords

A sharp upper bound for the 2‐torsion of class groups of multiquadratic fields

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2 Published in 2022 at "Mathematika"

DOI: 10.1112/mtk.12123

Abstract: Let $K$ be a multiquadratic extension of $\mathbb{Q}$ and let $\text{Cl}^{+}(K)$ be its narrow class group. Recently, the authors \cite{KP} gave a bound for $|\text{Cl}^{+}(K)[2]|$ only in terms of the degree of $K$ and the… read more here.

Keywords: bound torsion; class; upper bound; class groups ... See more keywords

On the 8-rank of narrow class groups of ℚ(−4pq), ℚ(−8pq), and ℚ(8pq)

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0 Published in 2018 at "International Journal of Number Theory"

DOI: 10.1142/s1793042118501300

Abstract: Let d ∈{−4,−8, 8}. We study the 8-part of the narrow class group in thin families of quadratic number fields of the form ℚ(dpq), where p ≡ q ≡ 1 mod 4 are prime numbers,… read more here.

Keywords: rank narrow; class; groups 4pq; class groups ... See more keywords

Associations between dental caries and ponderal growth in children: A Cambodian study

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1 Published in 2022 at "Journal of Global Health"

DOI: 10.7189/jogh.12.04046

Abstract: Background The evidence around the relationship between Early Childhood Caries (ECC) and undernutrition is sparse and mostly reported from cross-sectional data sets. This paper aimed to test the relationship between ECC and linear and ponderal… read more here.

Keywords: class; dental caries; ponderal growth; class groups ... See more keywords