Formal Language Invariants of Finitely Generated Groups
有限生成群的形式语言不变量
基本信息
- 批准号:9401090
- 负责人:
- 金额:$ 4.63万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Standard Grant
- 财政年份:1994
- 资助国家:美国
- 起止时间:1994-06-15 至 1997-05-31
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
In the past several years investigation of geometric and language-theoretic aspects of finitely presented groups has engendered a remarkable interplay between group theory, geometry, and the theory of automata and formal languages. The introduction of automatic groups and the classification of groups with context free word problem are significant developments in this area. The contribution of formal languages to this interplay is that they afford new ways of looking at the geometry of Cayley diagrams of groups. The goal of this proposal is to develop this approach further by characterizing other classes of groups in terms of the language-theoretic properties. This project is in the general area of group theory and the computer-aided computational aspects of this field. There is a growing interest in using computers to answer theoretical questions in algebra and conversely, algebra is quite useful for the development of algorithms. This research will not only aid in the development of computer programs in group theory but will influence the development of computer programs in other areas.
在过去的几年中,对几何和语言理论方面的研究,在群论、几何、自动机理论和形式语言之间产生了显著的相互作用。 自动组的引入和上下文无关词问题的组分类是这一领域的重要发展。 形式语言对这种相互作用的贡献在于,它们提供了看待群的凯莱图几何的新方法。 这个建议的目标是进一步发展这种方法,通过描述其他类别的群体的语言理论属性。 这个项目是在群论和计算机辅助计算方面的一般领域这一领域。 人们对使用计算机来回答代数中的理论问题越来越感兴趣,相反,代数对于算法的开发非常有用。 这项研究不仅有助于群论中计算机程序的发展,而且会影响其他领域计算机程序的发展。
项目成果
期刊论文数量(0)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
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Robert Gilman其他文献
Human Proteomic Profiles in Latent and Active Tuberculosis
- DOI:
10.1016/j.jinf.2009.10.017 - 发表时间:
2009-12-01 - 期刊:
- 影响因子:
- 作者:
Gurjinder Sandhu;Dimitris Athanasakis;Carlton Evans;Barry Ely;Rosario Montoya;Robert Gilman;Teresa Valencia;Rosario Sosa;Jon Friedland;Delmiro Fernandez-Reyes;Dan Agranoff - 通讯作者:
Dan Agranoff
Quantitative MODS-Wayne assay for rapid detection of pyrazinamide resistance in emMycobacterium tuberculosis/em from sputum samples
定量 MODS-Wayne 检测法用于快速检测痰标本中结核分枝杆菌的吡嗪酰胺耐药性
- DOI:
10.1128/spectrum.00471-24 - 发表时间:
2024-10-30 - 期刊:
- 影响因子:3.800
- 作者:
Emily Toscano-Guerra;Roberto Alcántara;Katherine Lozano Untiveros;Robert Gilman;Louis Grandjean;Mirko Zimic;Patricia Sheen - 通讯作者:
Patricia Sheen
SHORT-TERM (10-YEAR) AND LIFETIME PREDICTED RISK FOR CARDIOVASCULAR DISEASE: THE CRONICAS COHORT STUDY
- DOI:
10.1016/s0735-1097(14)61386-3 - 发表时间:
2014-04-01 - 期刊:
- 影响因子:
- 作者:
Renato Quispe;Juan Carlos Bazo-Alvarez;Julio Poterico;Antonio Bernabé-Ortiz;William Checkley;Robert Gilman;Mark Huffman;Jaime Miranda - 通讯作者:
Jaime Miranda
UNDERSTANDING THE ROLE OF STRAIN IMAGING IN THE EARLY DETECTION OF CHAGAS CARDIOMYOPATHY
- DOI:
10.1016/s0735-1097(17)34889-1 - 发表时间:
2017-03-21 - 期刊:
- 影响因子:
- 作者:
Daniel M. Alyeshmerni;Patrick Green;Gustavo Duran;Margaret Prust;Freddy Tinajeros;Manuela Verastegui;Holger Mayta;Jorge Flores;Carballo Paula;Lola Camila;Caryn Bern;Thomas Crawford;Robert Gilman;Theodore Kolias - 通讯作者:
Theodore Kolias
Chagas disease in the United States: a call for increased investment and collaborative research
美国的恰加斯病:呼吁增加投资和开展合作研究
- DOI:
10.1016/j.lana.2024.100768 - 发表时间:
2024-06-01 - 期刊:
- 影响因子:7.600
- 作者:
Nelson Iván Agudelo Higuita;Norman L. Beatty;Colin Forsyth;Andrés F. Henao-Martínez;Jennifer Manne-Goehler;Daniel Bourque;Natalie M. Bowman;Malwina Carrion;Christina Coyle;Madolyn Dauphinais;Kelly DeToy;Robert Gilman;Davidson H. Hamer;Jesica Herick;Salvador Hernandez;Claudia Herrera;Rachel Marcus;Sheba Meymandi;Melissa Nolan;Katherine Reifler;Alyse Wheelock - 通讯作者:
Alyse Wheelock
Robert Gilman的其他文献
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{{ truncateString('Robert Gilman', 18)}}的其他基金
Geometric and Asymptotic Group Theory with Applications 2017
几何和渐近群理论及其应用 2017
- 批准号:
1744834 - 财政年份:2017
- 资助金额:
$ 4.63万 - 项目类别:
Standard Grant
Computation with Finitely Presented Groups
有限呈现群的计算
- 批准号:
1318716 - 财政年份:2013
- 资助金额:
$ 4.63万 - 项目类别:
Standard Grant
The Structure of Maximal Subgroups of Finite Simple Groups
有限单群的极大子群的结构
- 批准号:
8002164 - 财政年份:1980
- 资助金额:
$ 4.63万 - 项目类别:
Standard Grant
Pre-College Teacher Development in Science
学前教育教师科学发展
- 批准号:
7901878 - 财政年份:1979
- 资助金额:
$ 4.63万 - 项目类别:
Standard Grant
Academic Year Pre-College Teacher Development Project in Sciences
学年大学前科学教师发展项目
- 批准号:
7713051 - 财政年份:1977
- 资助金额:
$ 4.63万 - 项目类别:
Standard Grant
Components in Finite Groups of Characteristic Two Type
特征二型有限群中的分量
- 批准号:
7605987 - 财政年份:1976
- 资助金额:
$ 4.63万 - 项目类别:
Standard Grant
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