subgroup

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sub·group

 (sŭb′gro͞op′)
n.
1. A distinct group within a group; a subdivision of a group.
2. A subordinate group.
3. Mathematics A group that is a subset of a group.
tr.v. sub·grouped, sub·group·ing, sub·groups
To divide into subgroups.

subgroup

(ˈsʌbˌɡruːp)
n
1. a distinct and often subordinate division of a group
2. (Mathematics) a mathematical group whose members are members of another group, both groups being subject to the same rule of combination

sub•group

(ˈsʌbˌgrup)

n.
1. a subordinate group.
2. Math. a subset of a group that is closed under the group operation and in which every element has an inverse in the subset.
[1835–45]
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.subgroup - a distinct and often subordinate group within a group
group, grouping - any number of entities (members) considered as a unit
bench - the reserve players on a team; "our team has a strong bench"
2.subgroup - (mathematics) a subset (that is not empty) of a mathematical group
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
mathematical group, group - a set that is closed, associative, has an identity element and every element has an inverse
Translations
podgrupa
subgrupo
delgruppundergrupp

subgroup

[ˈsʌbgruːp] Nsubgrupo m

subgroup

sub-group [ˈsʌbgruːp] nsous-groupe m

subgroup

[ˈsʌbˌgruːp] nsottogruppo
References in periodicals archive ?
Since H is a Hall subgroup of G, the hypothesis is satisfied for H and so dl(H) [less than or equal to] [absolute value of cd (H)] by induction argument (Here H is a proper subgroup of G, since q does not divide the order of H).
Theorem 1 The generalized free product of a nilpotent group and a solvable group amalgamated by a proper subgroup of them is not perfect.

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