FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2008, VOLUME 14, NUMBER 5, PAGES 219-235

Groups with minimal conditions

N. S. Chernikov

Abstract

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The author establishes a number of new propositions asserting that groups with various minimal conditions are Chernikov under some additional extremely weak finiteness conditions. These propositions include a great many known theorems on groups with minimal conditions.

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