Periodic groups with the primary minimality condition for certain systems of subgroups (Q1174006)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Periodic groups with the primary minimality condition for certain systems of subgroups |
scientific article; zbMATH DE number 7943
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic groups with the primary minimality condition for certain systems of subgroups |
scientific article; zbMATH DE number 7943 |
Statements
Periodic groups with the primary minimality condition for certain systems of subgroups (English)
0 references
25 June 1992
0 references
A group is binary-finite if all its subgroups generated by two elements are finite. The author studies groups \(G\) which are extensions of a binary-finite group by a binary-finite group with respect to the primary minimal condition. For instance, it is shown that such a group \(G\) is locally finite with primary minimal condition if it contains an involution \(i\) such that every locally soluble subgroup containing \(i\) satisfies the primary minimal condition.
0 references
binary-finite group
0 references
primary minimal condition
0 references
locally finite
0 references
involution
0 references
locally soluble subgroup
0 references
