Crossword clues for subgroup
Longman Dictionary of Contemporary English
The Collaborative International Dictionary
Subgroup \Sub"group`\, n. (Biol.)
A subdivision of a group, as of animals.
--Darwin.
Douglas Harper's Etymology Dictionary
Wiktionary
n. 1 A group within a larger group; a group whose members are some, but not all, of the members of a larger group. 2 (context group theory English) A subset ''H'' of a group ''G'' that is itself a group and has the same binary operation as ''G''. vb. To divide or classify into subgroups
WordNet
n. a distinct and often subordinate group within a group
(mathematics) a subset (that is not empty) of a mathematical group
Wikipedia
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. This is usually denoted , 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. ). This is usually represented notationally by , read as "H is a proper subgroup of G". Some authors also exclude the trivial group from being proper (i.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. The group G is sometimes denoted by the ordered pair , usually to emphasize the operation ∗ when G carries multiple algebraic or other structures.
This article will write ab for , as is usual.
Usage examples of "subgroup".
Each Lahit entity is connected to its own subgroups and to its immediate supergroup by a dendritic system that usually resides under the soil, and moves through it with great rapidity, in the same sort of way used by the sporulating tubules of brachiophytic fungi like the fairy-ring mushrooms.
Melanesian languages belong to the one large language group: the Austronesian language family of which the Polynesian languages all constitute one subgroup.
In the course of evolution, these defining features of the Saurischia and the Ornithischia underwent many modifications, and the state of these changes together with appearance of other, new anatomic features characterize different subgroups of the two main dinosaurian lines.
Mescalero is of the superfamily Nadene, subgroup Southern, family Kusan, along with Kiowa Apache, San Carlos Apache, Chiricahua, and, shamefully, Navaho.
Decades of dues and contributions and the proceeds from running for-profit conventions had secured its title to this piece of real estate out here in the Valley, and an inclusive policy had made it a commons for the various subgroups, specialized fandoms, Big Name Fans, book dealers, writers, wannabees, and hangers-on who made up the Los Angeles science fiction community.
In 1921, Billy Ingram promoted his hamburgers to an American society whose many subgroups were still deeply entrenched in and divided by their original ethnic traditions.
Springbuck walked among the men of Erub and divided them into subgroups, selecting those he deemed most alert and aggressive-looking for leaders.
You can, if you like, subdivide this group into a fairly large number of subgroups, but why should you?
Globulin likewise belongs to the Proteids, forming another subgroup, and this substance, though containing some matter which excited Drosera rather strongly, was hardly attacked by the secretion, and was very little or very slowly attacked by gastric juice.
If everyone is agreeable, I think that after the curricula are agreed on, we can put together an examination with a smaller subgroup of this committee and the staff at Leahy.
As the number of social components multiplies, and change jolts and destabilizes the entire system, the power of subgroups to wreak havoc on the whole is tremendously amplified.
The enabling legislation instructs secret-service police to arrest on sight and turn over to Public Courts all members of the organization Patriots United, and all persons affiliated with subgroups such as the Youth Loyalty League, the Women’.
The enabling legislation instructs secret-service police to arrest on sight and turn over to Public Courts all members of the organization Patriots United, and all persons affiliated with subgroups such as the Youth Loyalty League, the Women's .
By gentle treatment with acids or with alkali or with certain enzymes, it is possible to break up the protein molecule into its subgroup amino acids instead of its separate atoms.
Now, evolutionary biologists no longer considered man the apotheosis of evolution, but merely the dead end of a minor side branch of a generalist, less-evolved subgroup of Mammalia.