Bi-element representations of ternary groups

Details Bi-element representations of ternary groups Bi-element representations of ternary groups

2003-06-12

arxiv.org/abs/math/0306210v1

Communications in Algebra, vol.34 , n.5 (2006), pp.1651-1670.

Mathematics

Group Theory

18 pages, AmSLaTeX

Scientific paper

10.1080/00927870500542564

General properties of ternary semigroups and groups are considered. The bi-element representation theory in which every representation matrix corresponds to a pair of elements is built, connection with the standard theory is considered and several concrete examples are constructed. For clarity the shortened versions of classical Gluskin-Hossz\'{u} and Post theorems are given for them.

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