Isomorphism between certain systems of simple linear groups

Isomorphism Classes and Derived Series of Certain Almost-Free Groups

Simple Root Systems and Presentations for Certain Complex Reflection Groups

We find all the inequivalent simple root systems for the complex reflection groups G12, G24, G25 and G26. Then we give all the non-congruent essential presentations of these groups by generators and relations. The methed used in the paper is applicable to any finite (complex) reflection groups. Introduction. Shephard and Todd classified all the finite complex reflection groups in paper [5]. Lat...

A Pseudo-group Isomorphism between Control Systems and Certain Generalized Finsler Structures

The equivalence problem for control systems under non-linear feedback is recast as a problem involving the determination of the invariants of submanifolds in the tangent bundle of state space under fiber preserving transformations. This leads to a fiber geometry described by the invariants of submanifolds under the general linear group, which is the classical subject of centro-affine geometry. ...

Smith Homotopy Groups of Certain Algebraic Systems

We shall describe an algebraic scheme giving rise to a group P2 that can be identified as the second homotopy group when the elements entering the scheme are suitably interpreted. We consider particularly the group p2(X) associated with an abstract local group X. Let G be a groupoid.I We denote by it(g) and i,(g) the leftand rightidentities of elements g in G. We call g closed if iK(g) = ir(g) ...

Digital cohomology groups of certain minimal surfaces

In this study, we compute simplicial cohomology groups with different coefficients of a connected sum of certain minimal simple surfaces by using the universal coefficient theorem for cohomology groups. The method used in this paper is a different way to compute digital cohomology groups of minimal simple surfaces. We also prove some theorems related to degree properties of a map on digital sph...