Results 21 to 30 of about 2,666 (229)
Groups with an abelian Sylow subgroup [PDF]
Proceedings of the American Mathematical Society, 1977 The purpose of this note is to obtain a modular refinement of Brauer’s induction theorem for groups with an abelian Sylow subgroup.
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Abelian Subgroups of Garside Groups [PDF]
Communications in Algebra, 2008 In this paper, we show that for every abelian subgroup $H$ of a Garside group, some conjugate $g^{-1}Hg$ consists of ultra summit elements and the centralizer of $H$ is a finite index subgroup of the normalizer of $H$. Combining with the results on translation numbers in Garside groups, we obtain an easy proof of the algebraic flat torus theorem for ...
Lee, Eon-Kyung, Lee, Sang Jin
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Lower bounds for the normalized height and non-dense subsets of varieties in an abelian variety [PDF]
, 2010 This work is the third part of a series of papers. In the first two we considered curves and varieties in a power of an elliptic curve. Here we deal with subvarieties of an abelian variety in general.
Viada, Evelina
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Normality in Uncountable Groups [PDF]
Advances in Group Theory and Applications, 2017 The main purpose of this paper is to describe the structure of uncountable groups of cardinality $\aleph$ in which all subgroups of cardinality $\aleph$ are normal.
Maria De Falco +3 more
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Abelian subgroups of the Torelli group [PDF]
Algebraic & Geometric Topology, 2002 Let S be a closed oriented surface of genus g > 1, and let T denote its Torelli group. First, given a set E of homotopically nontrivial, pairwise disjoint, pairwise nonisotopic simple closed curves on S, we determine precisely when a multitwist on E is an element of T by defining an equivalence relation on E and then applying graph theory.
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Calabi–Yau threefolds and moduli of abelian surfaces I [PDF]
, 2001 We describe birational models and decide the rationality/unirationality of moduli spaces $\cal A$d (and $\cal A$levd) of (1, d)-polarized Abelian surfaces (with canonical level structure, respectively) for small values of d.
Sorin Popescu +3 more
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Isolated subgroups of finite abelian groups [PDF]
, 2022 summary:We say that a subgroup $H$ is isolated in a group $G$ if for every $x\in G$ we have either $x\in H$ or $\langle x\rangle \cap H=1$. We describe the set of isolated subgroups of a finite abelian group. The technique used is based on an interesting
Tărnăuceanu, Marius
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An Extension of Nice Bases on Ulm Subgroups of Primary Abelian Groups
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 Suppose A is an Abelian p-group and is an ordinal such that A/pα A is a direct sum of countable groups. It is shown that A has a nice basis if, and only if, pα A has a nice basis. This strengthens an earlier result of ours in Bull. Allah. Math.
Danchev Peter
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A Note on the Square Subgroups of Decomposable Torsion-Free Abelian Groups of Rank Three
Annales Mathematicae Silesianae, 2018 A hypothesis stated in [16] is confirmed for the case of associative rings. The answers to some questions posed in the mentioned paper are also given. The square subgroup of a completely decomposable torsion-free abelian group is described (in both cases
Woronowicz Mateusz
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GROUPS WITH ABELIAN SYLOW SUBGROUPS [PDF]
Journal of the Australian Mathematical Society, 2009 AbstractFinite groups with abelian Sylow p-subgroups for certain primes p are characterized in terms of arithmetical properties of commutators.
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