DUAL-STANDARD SUBGROUPS OF FINITE AND LOCALLY FINITE-GROUPS
UNSPECIFIED (1991) DUAL-STANDARD SUBGROUPS OF FINITE AND LOCALLY FINITE-GROUPS. MANUSCRIPTA MATHEMATICA, 70 (2). pp. 115-132. ISSN 0025-2611Full text not available from this repository.
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|
|Number of Pages:||18|
|Page Range:||pp. 115-132|
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