subgroup

English

Etymology

sub- +‎ group

Noun

subgroup (plural subgroups)

1. A group within a larger group; a group whose members are some, but not all, of the members of a larger group.
2. (group theory) A subset H of a group G that is itself a group and has the same binary operation as G.

Synonyms

• (group within a group): subset

Derived terms

• Cartan subgroup
• Fitting subgroup
• normal subgroup
• proper subgroup
• trivial subgroup
• stable subgroup

Translations

group within a larger group

• Bulgarian: подгрупа (bg) (pódgrupa) f 
• Chinese:

  Mandarin: 子群 (cmn) (zǐqún), 亞群 (cmn), 亚群 (cmn) (yàqún)

• Czech: podskupina (cs) f
• French: sous-groupe (fr) f
• German: Untergruppe (de) f
• Icelandic: undirflokkur (is) m

• Irish: foghrúpa (ga) m
• Japanese: 部分群 (ja) (ぶぶんぐん, bubungun), 亜群 (ja) (あぐん, agun)
• Persian: زیرگروه (fa) (zirgoruh)
• Russian: подгруппа (ru) (podgrúppa) f 
• Serbo-Croatian: podgrupa (sh) f, подгрупа (sh) f
• Swedish: undergrupp (sv) c
• Turkish: alt -grup (tr), altöbek (tr), alttakım (tr)

group-theoretical group within a larger group

• Czech: podgrupa (cs) f
• French: sous-groupe (fr) m
• German: Untergruppe f
• Icelandic: hlutgrúpa (is) f
• Irish: foghrúpa (ga) m
• Italian: sottogruppo (it) m

• Portuguese: subgrupo (pt) m
• Serbo-Croatian: podgrupa (sh) f
• Slovak: podgrupa (sk) f
• Spanish: subgrupo (es) m
• Swedish: delgrupp (sv) c
• Turkish: altküme (tr)

Verb

subgroup (third-person singular simple present subgroups, present participle subgrouping, simple past and past participle subgrouped)

1. To divide or classify into subgroups