noun
definition
A group within a larger group; a group whose members are some, but not all, of the members of a larger group.
definition
A subset H of a group G that is itself a group and has the same binary operation as G.
verb
definition
To divide or classify into subgroups
Examples of subgroup in a Sentence
We will need a fast way to generate a subgroup.
The subgroup will start with no generators, and will have a transversal by Schreier tree.
The subgroup will start with no generators, and will have a hom transversal.
You will get a new vertex 12 for an index 24 subgroup.
It is the smallest normal subgroup N of G such that G / N is a central quotient of a group.
Some people, however, belong to a smaller subgroup with a different surname, such groups are known as septs of the clan.
Thus our algorithm makes use of a large solvable normal subgroup S of Aut(G i).
The IgG subclass deficiencies are a subgroup of primary antibody deficiency.
No death reduction was observed in the subgroup of patients with lower disease severity.
There is no vertex for the trivial subgroup (yet).
This command allows subgroup generators to be deleted from the presentation.
A bias to the subgroup eg the plan is.
There are small numbers of women making subgroup analyzes difficult.
This varies from culture to culture and subgroup to subgroup.
They may be informally defined as the subgroup of anti-infectives that are derived from bacterial sources and are used to treat bacterial infections.
There is a subgroup of hair-pullers who do not meet the second and third criteria listed above.
Depending on the size of the company, the job can encompass responsibility for an entire IT department, or oversight of a subgroup within the unit, possibly divided up by geography or categories of technologies.
While Star Trek itself has developed a major cult following throughout the years, the starship schematics are created and collected by another large subgroup of Trekkie enthusiasts.
This subgroup of genital warts have been named bowenoid papulosis.
Therefore this example builds only a partial subgroup lattice.
The subgroup, generalized nodal osteoarthritis, is particularly common in women.
Lentiviral vectors, a subgroup of retroviruses, are capable of infecting non-dividing, but not truly quiescent cells.
Our study indicates that CLCrV and CLCuV are two distinct and distantly related subgroup III geminiviruses.
The solvable socle of a group grp is the subgroup generated by all minimal normal solvable subgroups of grp.
So another method to find a new subgroup is to compute the stabilizer of another point in u56.
It is often also possible to compute the derived subgroup of a tame rcwa group.
No test is done whether the property actually defines a subgroup.
It has index 77, so it contains a full 2-Sylow subgroup.
There is no vertex for the trivial subgroup (yet ).
If it returns false, no such act -invariant subgroup N may belong to calX.
In identifying companies whose shares might qualify for SSE exemption the concept of a trading subgroup is used to describe part of a group.
A subgroup of the 1960 culture was the hippies.
The typical representative of the group is the North American wapiti C. canadensis, but there are several closely allied races in Central Asia, such as C. canadensis songaricus and C. c. bactrianus, while in Manchuria the subgroup is represented by C. c. xanthopygus, in which the summer coat is reddish instead of grey.