subgroup

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subgroup

(sŭb′gro͞op′)
n.
1. A distinct group within a group; a subdivision of a group.
2. A subordinate group.
3. Mathematics A group that is a subset of a group.
tr.v. sub·grouped, sub·grouping, sub·groups
To divide into subgroups.
The American Heritage® Medical Dictionary Copyright © 2007, 2004 by Houghton Mifflin Company. Published by Houghton Mifflin Company. All rights reserved.

subgroup

(sŭb′groop″)
In a research study a selected population of patients who share one or more common traits and thus can be distinguished from the rest of the individuals investigated.
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Thus K, K [intersection] N satisfy the hypotheses of the theorem in any case, so K is p-nilpotent, therefore G is a group which is not p-nilpotent but whose proper subgroups are all p-nilpotent.
The influence of SCAP and S-supplemented subgroups on the p-nilpotency of finite groups
Lemma 2.6.([13]) Suppose that G is a group which is not nilpotent but whose proper subgroups are all nilpotent.
If K < G, We have K = [K.sub.p] x [K.sub.p'] since that G is a group which is not nilpotent but whose proper subgroups are all nilpotent.
The hypothesis is inherited by all proper subgroups of G.
On s*--supplemented subgroups of finite groups (1)

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