On primitive representations of soluble groups of finite rank
Journal Article
·
· Sbornik. Mathematics
- Department of Chemistry, Dnepropetrovsk National University, Dnepropetrovsk (Ukraine)
In the paper it is proved, in particular, that a group is polycyclic if and only if it is soluble of finite rank, satisfies the ascending chain condition for normal subgroups and admits a faithful irreducible primitive representation over a field of characteristic zero. Methods are developed that enable one to study induced representations of nilpotent and soluble groups of finite rank.
- OSTI ID:
- 21202986
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 11 Vol. 191; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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