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Bi-element representations of ternary groups

群论 2007-05-23 v1 高能物理 - 理论 数学物理 math.MP 环与代数 表示论

摘要

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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引用

@article{arxiv.math/0306210,
  title  = {Bi-element representations of ternary groups},
  author = {Andrzej Borowiec and Wieslaw A. Dudek and Steven Duplij},
  journal= {arXiv preprint arXiv:math/0306210},
  year   = {2007}
}

备注

18 pages, AmSLaTeX