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A subset N of a group G which is itself a group relative to the same operation.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.



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.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
References in periodicals archive ?
Archer and his collaborators pooled data from two prospective, randomized, double-blind, placebo-controlled trials (NCT02013544 and NCT01256684) of intravaginal prasterone dosed at 0.50%, 6.5 mg once daily for 12 weeks; he presented the subgroup analyses at the annual meeting of the North American Menopause Society in San Diego.
Finally, 159 patients were followed up from 15 months to 12 years: 89 in 1-month subgroup, 48 in 3-month subgroup, and 22 in Group B.
The rate of vaginal delivery in NC loose subgroup was 75.76% as compared to 36.92% in NC tight subgroup.
However, the difference lay in the fact that both directions were separately compared in the subgroups. As shown in Table 3, the Mann-Whitney U test was employed for subgroup 1 versus subgroup 2, and the associated Thus, the null hypothesis, which stated that "there is no difference between the gains of normal vHIT of subgroup 1 and the gain of direction vHIT of subgroup 2 in the right direction" could not be rejected with a 95% confidence level.
The CVs of diameter in the small CCC, middle CCC, and large CCC subgroups were 0.318, 0.230, and 0.335, respectively.
First of all, using the famous WS model [23], we build a social network containing two subgroups, respectively.
The group has many subgroups. Each subgroup maintained by using Group Diffie-Hellman (GDH) and links with other subgroups using Tree-based Group Diffie-Hellman (TGDH).
The sites give information about subgroup conference call meetings, minutes from earlier meetings, and, in some cases, copies of documents reviewed at the meetings.
The animals in subgroups I and II were adapted to walking on the treadmill prior to the exercise sessions.
Researchers in early childhood have used these methods with large-scale data sets to identify subgroups of children with similar patterns of characteristics or behaviors (Konold & Pianta, 2005).
Results: Macrophages were decreased initially 3 days after surgery and were increased 5 and 7 days after surgery in the experimental subgroups. Similarly blood vessels and fibroblast were significantly decreased in experimental subgroups 3 days after surgery but were increased significantly in experimental subgroups 7 days after surgery.