The Groups of Zc-Automaton Transformations

Oliynyk AS; Sushchanskii VI

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The Groups of Zc-Automaton Transformations

机译：Zc-自动机转换的组

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Under study are the ZC-automata and the transformation groups determined by them. We establish relationships between the group of ZC-automaton transformations and the group of infinite unitriangular integer matrices. We describe the derived series of the group of ZC-automaton transformations and present conditions for the representability of residually solvable groups by ZC-automaton transformations. We construct a continual family of ZC-automata with two states, each of which generates a free semigroup.

机译：正在研究的是ZC自动机及其确定的转化组。我们在ZC-自动机转换组和无限单阶整数矩阵组之间建立关系。我们描述了ZC-自动机转换组的派生系列，并提出了ZC-自动机转换可表示可溶基团的条件。我们构造具有两个状态的ZC自动机的连续族，每个状态生成一个自由的半群。

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《Siberian Mathematical Journal》 |2010年第5期|共13页
作者
Oliynyk AS; Sushchanskii VI;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
automaton; automaton transformation; unitriangular matrix; residually solvable group; derived series; free semigroup;

机译：自动机;自动机变换;单三角矩阵;剩余可解群;导出级数;自由半群;

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The Groups of Zc-Automaton Transformations

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