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DUAL-STANDARD SUBGROUPS OF FINITE AND LOCALLY FINITE-GROUPS
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UNSPECIFIED (1991) DUAL-STANDARD SUBGROUPS OF FINITE AND LOCALLY FINITE-GROUPS. MANUSCRIPTA MATHEMATICA, 70 (2). pp. 115-132. ISSN 0025-2611.
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Abstract
A subgroup D of a group G is called dual-standard if, for all subgroups X and Y of G, [X intersects D, Y intersects D] = [X, Y] intersects D. When G is finite, Zappa has given some information concerning the way in which D is embedded in G and the structure of G itself. Among other things, Zappa makes reference to the maximal normal Hall subgroup L of G contained in D. In general L can be arbitrary. The main result of this work, however, is to show that commutator of L with a complement in G is nilpotent.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Journal or Publication Title: | MANUSCRIPTA MATHEMATICA | ||||
| Publisher: | SPRINGER VERLAG | ||||
| ISSN: | 0025-2611 | ||||
| Official Date: | 1991 | ||||
| Dates: |
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| Volume: | 70 | ||||
| Number: | 2 | ||||
| Number of Pages: | 18 | ||||
| Page Range: | pp. 115-132 | ||||
| Publication Status: | Published |
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