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Hopfian group

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  • Hopfian group — In mathematics, a Hopfian group is a group G for which every epimorphism: G rarr; G is an isomorphism. Equivalently, a group is Hopfian if and only if it is not isomorphic to any of its proper quotients.Example of Hopfian groups* Every finite… …   Wikipedia

  • Baumslag–Solitar group — In the mathematical field of group theory, the Baumslag–Solitar groups are examples of two generator one relator groups that play an important role in combinatorial group theory and geometric group theory as (counter)examples and test cases. They …   Wikipedia

  • Группа Баумслага — В алгебре, группа Баумслага Солитера   группа с двумя образующими и и одним соотношением Эта группа обычно обозначается . Примеры и свойства это свободн …   Википедия

  • List of mathematics articles (H) — NOTOC H H cobordism H derivative H index H infinity methods in control theory H relation H space H theorem H tree Haag s theorem Haagerup property Haaland equation Haar measure Haar wavelet Haboush s theorem Hackenbush Hadamard code Hadamard… …   Wikipedia

  • Gilbert Baumslag — is a Distinguished Professor at the City College of New York, with joint appointments in mathematics, computer science, and electrical engineering. He is director of the Center for Algorithms and Interactive Scientific Software, which grew out of …   Wikipedia

  • Finitely-generated module — In mathematics, a finitely generated module is a module that has a finite generating set. A finitely generated R module also may be called a finite R module or finite over R.[1] Related concepts include finitely cogenerated modules, finitely… …   Wikipedia

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