Speciality:
01.01.06 (Mathematical logic, algebra, and number theory)
Birth date:
15.06.1949
E-mail: , ;
Keywords: finite groups; group rings; unit groups; integer rings pf algebraic number fields.
Subject:
Main purpose of my investigations is the construction of theory for studying of central units of integral group rings of finite groups. I have the results concerning separate central units and properties of groups of all central units also. Firstly, I obtain the complete descriptions of central unit groups of integral group rings of some finite groups. For investigations of central units I obtain the results about integer rings of abelian fields.
Main publications:
Aleev R. \v{Z}., Higman's central unit theory, units of integral group rings of finite cyclic groups and Fibonacci numbers // Intern. J. of Algebra and Comp. V. 4, no. 3(1994), p. 309–358.
