Remarks on Azarov’s work on soluble groups of finite rank

Remarks on Azarov’s work on soluble groups of finite rank

We present proofs of D. N. Azarov’s recent three theorems determining precisely when a soluble group of finite rank is residually a finite π -group for a specified finite set π of primes. Our proofs seem to be substantially shorter; they also apply to groups with a somewhat weaker notion of finite r...

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Veröffentlicht in:Bollettino della Unione matematica italiana (2008) 2016-09, Vol.9 (3), p.319-322
1. Verfasser: Wehrfritz, B. A. F.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:We present proofs of D. N. Azarov’s recent three theorems determining precisely when a soluble group of finite rank is residually a finite π -group for a specified finite set π of primes. Our proofs seem to be substantially shorter; they also apply to groups with a somewhat weaker notion of finite rank.
ISSN:1972-6724
2198-2759
DOI:10.1007/s40574-015-0047-8