On high subgroups

On N-high Subgroups of Abelian Groups

The Equivalence of High Subgroups

Two subgroups of a group G are called equivalent if there is an automorphism of G that maps one of the subgroups onto the other. Suppose that G is a /7-primary abelian group and that A is an ordinal. A subgroup H oî G is //-high in G if H is maximal in G with respect to having zero intersection with p G. Under certain conditions on the quotient group G/pxG slightly weaker than total projectivit...

Results on Engel Fuzzy Subgroups

‎In the classical group theory there is‎ an open question‎: ‎Is every torsion free n-Engel group (for n ≥ 4)‎, nilpotent?‎. ‎To answer the question‎, ‎Traustason‎ [11] showed that with some additional conditions all‎ ‎4-Engel groups are locally nilpotent‎. ‎Here‎, ‎we gave some partial‎ answer to this question on Engel fuzzy subgroups‎. ‎We show that if μ is a normal 4-Engel fuzzy‎ subgroup of ...

Inferior myocardial infarction. High-risk subgroups.

I nferior myocardial infarctions account for 4050% of all acute myocardial infarctions1l2 and are generally viewed as having a more favorable prognosis than anterior wall infarctions. Data from a number of recent trials of thrombolytic therapy in acute infarction appear to support this view, with mortality rates of 2-9% reported among patients with inferior infarctions assigned to the "standard...

High-dimensional regression over disease subgroups

We consider high-dimensional regression over subgroups of observations. Our work is motivated by biomedical problems, where disease subtypes, for example, may differ with respect to underlying regression models, but sample sizes at the subgroup-level may be limited. We focus on the case in which subgroup-specific models may be expected to be similar but not necessarily identical. Our approach i...