On infinite groups whose finite quotients have restricted prime divisors

Abstract

‎The effect of restricting the set of primes dividing the orders of the finite quotients of a group is investigated‎. ‎Particular attention is paid to abelian‎, ‎soluble‎, ‎locally soluble and locally finite groups‎. ‎The connection with the extraction of roots is explored‎.

Keywords

• ‎finite quotients‎
• ‎prime divisors