subgroup
die Untergruppe, die Untergruppen
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subgroup
A smaller group within a larger group whose members share certain characteristics or tasks.
Für die Projektarbeit wurde die Klasse in drei Untergruppen aufgeteilt.
For the project work, the class was divided into three subgroups.
subgroup
In mathematics, a nonempty subset of a group that itself forms a group under the same operation.
Die geraden ganzen Zahlen bilden bezüglich der Addition eine Untergruppe der ganzen Zahlen.
The even integers form a subgroup of the integers with respect to addition.
| gender | feminine die |
|---|---|
| plural | die Untergruppen |
| genitive | der Untergruppe |
| singular | plural | |
|---|---|---|
| nominative | die Untergruppe | die Untergruppen |
| accusative | die Untergruppe | die Untergruppen |
| dative | der Untergruppe | den Untergruppen |
| genitive | der Untergruppe | der Untergruppen |
The article changes with the case; it is shown in colour.
'Untergruppe' (subgroup) is made up of 'unter' (under) and 'Gruppe' (group). The first part indicates that it is a group within a larger group.
Die Arbeitsgemeinschaft besteht aus mehreren Untergruppen.
The working group consists of several subgroups.
In social or organizational contexts, 'Untergruppe' (subgroup) frequently occurs with verbs such as 'bilden' (to form), 'aufteilen' (to divide), and 'angehören' (to belong to). Typical patterns are 'eine Gruppe in Untergruppen aufteilen' (to divide a group into subgroups) and 'einer Untergruppe angehören' (to belong to a subgroup).
Sie gehört einer Untergruppe an, die das Sommerfest plant.
She belongs to a subgroup that is planning the summer festival.
The mathematical meaning is often recognizable from technical terms such as 'Verknüpfung' (operation), 'Addition' (addition), or 'Menge' (set), as well as from the phrase 'Untergruppe einer Gruppe' (subgroup of a group). In this context, 'Untergruppe' (subgroup) is a technical mathematical term.
Die Menge der Vielfachen von drei ist eine Untergruppe der ganzen Zahlen bezüglich der Addition.
The set of multiples of three is a subgroup of the integers with respect to addition.
