Conditions of finiteness in Aleshin-type groups
The author continues his investigation of so called Aleshin-type groups - - infinite finitely generated periodic groups which can be constructed for some sequence of primes. A group \(G\) is said to be infinitely prime, iff the index of every nontrivial normal subgroup \(N\) is \(G\) is finite. A criterion of infinite primeness is presented in the case of odd primes in the sequences. It is proved that every binary finite such group is locally finite.
infinite finitely generated periodic groups
scientific article; zbMATH DE number 59394