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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
Full text not available from this repository.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 |
| Date: | 1991 |
| Volume: | 70 |
| Number: | 2 |
| Number of Pages: | 18 |
| Page Range: | pp. 115-132 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/22892 |
Data sourced from Thomson Reuters' Web of Knowledge
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