摘要
This is a survey of results and open problems concerning the structure of periodic group with prescribed orders of their elements. In particular, an outline of a proof of the following recent result is given: every periodic group whose set of element orders coincides with {1,2,3,4,8} is locally finite.
This is a survey of results and open problems concerning the structure of periodic group with prescribed orders of their elements. In particular, an outline of a proof of the following recent result is given: every periodic group whose set of element orders coincides with {1, 2, 3, 4, 8} is locally finite.
基金
supported by Russian Foundation of Basic Research (Grant Nos. 06-01-39001, 08-01-00322)
the State Maintenance Program for the Leading Scientific Schools of the Russian Federation (Grant No. NSh–344.2008.1)
Siberian Branch of RAS (complex integration project 2008.01.02)
National Natural Science Foun-dation of China (Grant No. 10871032)
the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20060285002)
