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About: Cohomological dimension

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In abstract algebra, cohomological dimension is an invariant of a group which measures the homological complexity of its representations. It has important applications in geometric group theory, topology, and algebraic number theory.

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  • In abstract algebra, cohomological dimension is an invariant of a group which measures the homological complexity of its representations. It has important applications in geometric group theory, topology, and algebraic number theory. (en)
  • 代數中，上同調維數是群的不變量，量度群的表示的同調複雜度。上同調維數在幾何群論、拓撲學、代數數論中有重要應用。 (zh)
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  • In abstract algebra, cohomological dimension is an invariant of a group which measures the homological complexity of its representations. It has important applications in geometric group theory, topology, and algebraic number theory. (en)
  • 代數中，上同調維數是群的不變量，量度群的表示的同調複雜度。上同調維數在幾何群論、拓撲學、代數數論中有重要應用。 (zh)
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  • Cohomological dimension (en)
  • 上同調維數 (zh)
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