Welcome to Anagrammer Crossword Genius! Keep reading below to see if subgroup is an answer to any crossword puzzle or word game (Scrabble, Words With Friends etc). Scroll down to see all the info we have compiled on subgroup.
subgroup
Searching in Crosswords ...
The answer SUBGROUP has 5 possible clue(s) in existing crosswords.
Searching in Word Games ...
The word SUBGROUP is VALID in some board games. Check SUBGROUP in word games in Scrabble, Words With Friends, see scores, anagrams etc.
Searching in Dictionaries ...
Definitions of subgroup in various dictionaries:
noun - a distinct and often subordinate group within a group
noun - (mathematics) a subset (that is not empty) of a mathematical group
A distinct group within a group; a subdivision of a group.
more
Word Research / Anagrams and more ...
Keep reading for additional results and analysis below.
| Subgroup description |
|---|
|
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. * A proper subgroup of a group G is a subgroup H which is a proper subset of G (i. e. H G). This is usually represented notationally by H < G, read as "H is a proper subgroup of G". Some authors also exclude the trivial group from being proper (i. e. {e} H G).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. The group G is sometimes denoted by the ordered pair (G, ), usually to emphasize the operation when G carri |