Let X be a compact bordered Klein surface of algebraic genus p ≥ 2 and let G = Γ∗/Λ be a group of automorphisms of X where Γ∗ is a noneuclidian chrystalographic group and Λ is a bordered surface group. If the order of G is 4q (q−2) (p−1), for q ≥ 3 a prime number, then the signature of Γ∗ is (0;+; [−]; {(2, 2, 2, q)}). These groups of automorphisms are called generalizedM∗-groups. In this paper...

In this paper, we introduce the concept of intuitionistic M -fuzzy groups and obtain some results.

Let $G$ be a group and $Aut(G)$ be the group of automorphisms of‎ ‎$G$‎. ‎For any natural‎ number $m$‎, ‎the $m^{th}$-autocommutator subgroup of $G$ is defined‎ ‎as‎: ‎$$K_{m} (G)=langle[g,alpha_{1},ldots,alpha_{m}] |gin G‎,‎alpha_{1},ldots,alpha_{m}in Aut(G)rangle.$$‎ ‎In this paper‎, ‎we obtain the $m^{th}$-autocommutator subgroup of‎ ‎all finite abelian groups‎.