Results 51 to 60 of about 544 (187)
Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14
ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
wiley +1 more source
A group G has a finite special rank r, if every finitely generated subgroup of G can be generated by at most r elements, and there exists a finitely generated subgroup H which has exactly r generators.
T.V. Velychko
doaj +1 more source
Inducing Coverings on Hilbert Schemes
ABSTRACT We find an explicit geometric description of all coverings of Hilb2(Σ)$\operatorname{Hilb}^{2}(\Sigma)$ when Σ$\Sigma$ is a normal, complex, quasi‐projective surface with finite fundamental group. We then apply this construction to show that if Σ$\Sigma$ is an irreducible symplectic surface then Hilb2(Σ)$\operatorname{Hilb}^{2}(\Sigma)$ is an ...
Lucas Li Bassi, Filippo Papallo
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The purpose of this research is to show a constructive method for using known fuzzy groups as building blocks to form more fuzzy subgroups. As we shall describe employing this procedure with the fuzzy generating subgroups give us a large class of ...
L.N.M. Tawfiq
doaj
On Groups Whose Irreducible Character Degrees of All Proper Subgroups are All Prime Powers
Isaacs, Passman, and Manz have determined the structure of finite groups whose each degree of the irreducible characters is a prime power. In particular, if G is a nonsolvable group and every character degree of a group G is a prime power, then G is ...
Shitian Liu
doaj +1 more source
On Abelian Subgroups ofp-Groups
Let \(p\) be a prime and let \(G\) be a finite \(p\)-group. Abelian subgroups of the group \(G\) are investigated here. The author generalizes and presents simplified proofs of almost all elementary lemmas from Section 8 of the odd order paper. In particular it is proved, that if \(A2\), and \(\mathcal U\) is the set of all abelian subgroups \(T\) of \(
openaire +2 more sources
Cyclic subgroup transitivity for Abelian groups
In previous work, the first two authors studied the notion of transitivity with respect to cyclic subgroups for separable Abelian p -groups and modules over the ring of p
Goldsmith, Brendan +2 more
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Kitaoka's conjecture and sums of squares
Abstract We connect the existence of a ternary classical universal quadratic form over a totally real number field K$K$ with the property that all totally positive multiples of 2 are sums of squares (if K$K$ does not contain 2$\sqrt{2}$ or contains a nonsquare totally positive unit).
Vítězslav Kala +2 more
wiley +1 more source
On Nielsen equivalence classes of two‐element generators of mapping class groups
Abstract We show that there are infinitely many Nielsen equivalence classes of the mapping class group of a closed oriented surface of genus at least eight.
Susumu Hirose, Naoyuki Monden
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Totally elliptic surface group representations
Abstract A surface group representation into a Lie group is totally elliptic if every simple closed curve on the surface is mapped to an elliptic element. In this note, we characterize all totally elliptic surface group representations into PSL2R$\operatorname{PSL}_2 \mathbb {R}$ and PSL2C$\operatorname{PSL}_2\mathbb {C}$ by showing that they are ...
Arnaud Maret
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