7 papers
Frobenius reciprocity on the space of functions invariant under a group action
Teerapong Suksumran, Tanakorn Udomworarat
This article studies connections between group actions and their corresponding vector spaces. Given an action of a group on a nonempty set , we examine the space of s…
The isometry group of -dimensional Einstein gyrogroup
Teerapong Suksumran
The space of -dimensional relativistic velocities normalized to , is naturally associated with Ei…
An inequality related to Möbius transformations
Themistocles M. Rassias, Teerapong Suksumran
The open unit ball is endowed with Möbius addition defined by $$\mathbf{u}\oplus_M\mathbf{v} = \dfrac{…
On metric structures of normed gyrogroups
Teerapong Suksumran
In this article, we indicate that the open unit ball in -dimensional Euclidean space admits norm-like functions compatible with the Poincaré and BeltramiKlein…
Geometry of generated groups with metrics induced by their Cayley color graphs
Teerapong Suksumran
Let be a group and let be a generating set of . In this article, we introduce a metric on with respect to , called the cardinal metric. We then compare geom…
Extension of Maschke's theorem
Teerapong Suksumran
In the present article, we examine linear representations of finite gyrogroups, following their group-counterparts. In particular, we prove the celebrated theorem of Maschke for gy…