Subgroup

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subgroup

[′səb‚grüp]
(mathematics)
A subset N of a group G which is itself a group relative to the same operation.

Subgroup

 

in mathematics, a subset of elements of a group that itself forms a group with respect to the group operation. This means that a subgroup that contains the elements a and b will always contain a-1 and ab as well.

References in periodicals archive ?
I use the comparative method to draw subgrouping conclusions, which relies on exclusively shared innovations to define the boundaries of a particular group.
Issues of subgrouping, especially within counseling courses, can be expected; they are typical to any group situation.
The authors agreed that LBP should not be thought of as a homogenous condition, and found that outcomes can be improved with subgrouping to guide intervention selection.
Although standard linguistic subgrouping models show particular relationships between the languages of Fiji, Rotuma, Micronesia, and Polynesia, (e.
X/R are used where the subgrouping is important in the determination of the process variability, whereas the I/mR pairs are used where, either there is only a single value to define the subgroup, or the subgroup-to-subgroup variability is of more interest.
Given the low number of survey respondents with incurred taxi costs, no reliable subgrouping can be undertaken.
Therefore, to assess the power of the WHI trial to resolve such questions, it is necessary to know the number of subjects being observed, the homogeneity of each trial group, and whether there should be subgrouping analysis because of skewed distribution of subjects that could obscure age-related occurrences of cardiovascular events within the larger group of subjects.
pk] are for computing the index with recpect to the subgrouping of date.
Additional support for the utility of the ERG for subgrouping cocaine addicts with increased dopamine disturbances come from a recent study by Roy and colleagues (2003), in which concentrations of the dopamine metabolite homovanillic correlated with ERG blue cone b wave amplitude.
When the data were analyzed by subgrouping the women into 3 groups by years since menopause, the only significant increased risk of CHD with hormone use occurred in women who were 20 or more years postmenopausal at the time of enrollment (HR, 1.
The disease subgrouping by karyotypic abnormalities indicates patient prognosis.