Subgroup
In group theory, a branch of mathematics, given a group G under a binary operation ∗, a subset H of G is called a subgroup of G if H also forms a group under the operation ∗. More precisely, H is a subgroup of G if the restriction of ∗ to H × H is a group operation on H. This is usually denoted H ≤ G, read as "H is a subgroup of G". The trivial subgroup of any group is the subgroup {e} consisting of just the identity element. If H is a subgroup of G, then G is sometimes called an overgroup of H.
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119 (number)3D rotation group7-simplex honeycombA-groupAbelian groupAbnormal subgroupAcylindrically hyperbolic groupAdditionAdian–Rabin theoremAffine groupAffine spaceAffine symmetric groupAggregate dataAlgebra and TilingAlgebraic groupAlgebraic topologyAntisymmetrizerAperiodic semigroupAppell sequenceApproximate groupArchimedean groupAscendant subgroupAtkin–Lehner theoryAtoroidalAtyap subgroups and clansAudience segmentationAutomorphic factorAutomorphismB-admissible representationBaer groupBasic subgroupBilbao Crystallographic ServerBinary quadratic formBiquadratic fieldBiquaternionBlock (permutation group theory)Bose–Mesner algebraBoundedly generated groupBraid groupBrauer's theorem on induced characters
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subdivision ranks
ATC code A01ATC code A02ATC code A03ATC code A04ATC code A05ATC code A06ATC code A07ATC code A08ATC code A09ATC code A10ATC code A11ATC code A12ATC code A13ATC code A14ATC code A15ATC code A16ATC code B01ATC code B02ATC code B03ATC code B05ATC code B06ATC code C01ATC code C02ATC code C03ATC code C04ATC code C05ATC code C07ATC code C08ATC code C09ATC code C10ATC code D01ATC code D02ATC code D03ATC code D04ATC code D05ATC code D06ATC code D07ATC code D08ATC code D09ATC code D10
hypernym
primaryTopic
Subgroup
In group theory, a branch of mathematics, given a group G under a binary operation ∗, a subset H of G is called a subgroup of G if H also forms a group under the operation ∗. More precisely, H is a subgroup of G if the restriction of ∗ to H × H is a group operation on H. This is usually denoted H ≤ G, read as "H is a subgroup of G". The trivial subgroup of any group is the subgroup {e} consisting of just the identity element. If H is a subgroup of G, then G is sometimes called an overgroup of H.
has abstract
Di teori grup, cabang matemati ...... gai "H adalah subgrup dari G".
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Em teoria dos grupos, um subgr ...... ração de e é um grupo.Notação:
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En delgrupp eller undergrupp ä ...... t skriva produkten a*b som ab.
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En teoria de grups, donat un g ...... roducte a*b simplement com ab.
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En álgebra, dado un grupo G co ...... ducto a*b como simplemente ab.
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In de groepentheorie verstaat ...... het aantal linkernevenklassen.
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In group theory, a branch of m ...... algebraic or other structures.
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Podgrupa – zbiór elementów dan ...... grup o lepszych własnościach).
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Un sottoinsieme H di un gruppo ...... un sottoinsieme proprio di G.
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Un sous-groupe est un objet ma ...... un groupe d'élément neutre e.
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Wikipage page ID
page length (characters) of wiki page
Wikipage revision ID
997,526,006
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All 30 subgroups
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Simplified
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Hasse diagrams of the lattice of subgroups of S4
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Di teori grup, cabang matemati ...... gai "H adalah subgrup dari G".
@in
Em teoria dos grupos, um subgr ...... ração de e é um grupo.Notação:
@pt
En delgrupp eller undergrupp ä ...... består av identitetselementet.
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En teoria de grups, donat un g ...... nté només l'element identitat.
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En álgebra, dado un grupo G co ...... ente en el elemento identidad.
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In de groepentheorie verstaat ...... analoog, de rechternevenklasse
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In group theory, a branch of m ...... imes called an overgroup of H.
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Podgrupa – zbiór elementów dan ...... y (zob. działanie wewnętrzne).
@pl
Un sottoinsieme H di un gruppo ...... un sottoinsieme proprio di G.
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Un sous-groupe est un objet ma ...... un groupe d'élément neutre e.
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label
Delgrupp
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Ondergroep (wiskunde)
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Podgrupa
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Podgrupa
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Sottogruppo
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Sous-groupe
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Subgroup
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Subgrup
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Subgrup
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Subgrupo
@eo