The theorems of Schur and Baer: a survey

نویسندگان
Dixon, Martyn ID 1
Kurdachenko, Leonid ID 2
Pypka, Aleksander ID 3

1 University of Alabama

2 Department of Algebra, Facultet of mathematic and mechanik\ National University of Dnepropetrovsk\ Gagarin prospect 72\ Dnepropetrovsk 10, 49010, Ukraine.

3 Department of Algebra, Facultet of mathematic and mechanik\ National University of Dnepropetrovsk\ Gagarin prospect 72\ Dnepropetrovsk 10, 49010, Ukraine.

doi
10.22108/ijgt.2015.7376
چکیده

This paper gives a short survey of some of the known results generalizing the theorem‎, ‎credited to I‎. ‎Schur‎, ‎that if the central factor group is finite then the derived subgroup is also finite‎.

کلیدواژه‌ها
Schur theorem, Baer theorem, finite rank