Factorizations of infinite soluble groups

conjugate factorizations of finite groups

in this paper we illustrate recent results about factorizations of finite groups into conjugate subgroups. the illustrated results are joint works with john cannon, dan levy, attila mar'oti and iulian i. simion.

Factorizations of Primitive Permutation Groups

Factorizations of the Fibonacci Infinite Word

The aim of this note is to survey the factorizations of the Fibonacci infinite word that make use of the Fibonacci words and other related words, and to show that all these factorizations can be easily derived in sequence starting from elementary properties of the Fibonacci numbers. 1 Preliminaries The well-known sequence of Fibonacci numbers (sequence A000045 in the On-Line Encyclopedia of Int...

On Minimal Length Factorizations of Finite Groups

new classes of infinite groups

in this article, we consider some new classes of groups, namely, mp-groups, t0-groups,ø-groups,ø0-groups, groups with finitely embedded involution, which were appeared at the end of twenties century. these classes of infinite groups with finiteness conditions were introduced by v.p. shunkov. we give some review of new results on these classes of groups.