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Golod-Shafarevich groups: a survey
Golod-Shafarevich groups subgroup growth class field tower problem Burnside problem
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2012/6/19
In this paper we survey the main results about Golod-Shafarevich groups and their applications in algebra, number theory and topology.
Generalized Young and Cauchy--Bunyakowsky Inequalities with Applications: a survey
Generalized Young Cauchy--Bunyakowsky Inequalities Applications
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2011/2/22
In this survey we consider generalizations for Young and Cauchy–Bunyakowsky inequalities with applications.In section 2 it is noticed that in fact there two different Young inequalities (for two numbe...
A survey of the Poincaré Center Problem in degree 3 using finite field heuristics
survey Poincaré Center Problem degree 3
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2011/2/21
We compare a heuristic count of components of the center variety in degree 3 with the equivalent count obtained from known families.From this comparison we conjecture that more than 100 unknown compon...
A Survey on the Distribution of B-free Numbers
B-free numbers linear forms
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2010/2/26
In this paper we present a survey of recent progress on the distribution of B-free numbers in short intervals and some of its applications.