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Qu'est-ce (qui) est subgroup - définition

SUBSET OF A MATHEMATICAL GROUP THAT FORMS A GROUP ITSELF

SubGroup; Subgroups; Proper subgroup; Overgroup; Subgroup test; Subgroup Test; Sub-group; Subgroup (mathematics); Subgroups of S4

Subgroup

·noun A subdivision of a group, as of animals.

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 is a group operation on H.

https://en.wikipedia.org/wiki/Subgroup

subgroup

also sub-group (subgroups)

A subgroup is a group that is part of a larger group.

The Action Group worked by dividing its tasks among a large number of subgroups.

N-COUNT

Wikipédia

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 often 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.

A proper subgroup of a group G is a subgroup H which is a proper subset of G (that is, H ≠ G). This is often represented notationally by H < G, read as "H is a proper subgroup of G". Some authors also exclude the trivial group from being proper (that is, H ≠ {e}).

If H is a subgroup of G, then G is sometimes called an overgroup of H.

The same definitions apply more generally when G is an arbitrary semigroup, but this article will only deal with subgroups of groups.

https://en.wikipedia.org/wiki/Subgroup

Exemples du corpus de texte pour subgroup

1. "The law ... now requires us to look at every subgroup.

2. McKinnie said the IO–ICG in Perth formed a subgroup called the DART operators group.

3. Even a subgroup of students with 10 practice pours made the misjudgment.

4. Civil wars commonly occur when a subgroup, fed up with being denied freedoms, declares independence.

5. The south east Asian birdflu is in the "high" subgroup which means that it is more deadly than others.