Automatic quotients of free groups

Robert H. Gilman

doi:10.1016/j.jpaa.2005.02.004

Automatic quotients of free groups

Robert H. Gilman

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Automatic groups admitting prefix-closed automatic structures with uniqueness are characterized as the quotients of free groups by normal subgroups possessing sets of free generators satisfying certain language-theoretic conditions.

Original language	English
Pages (from-to)	313-324
Number of pages	12
Journal	Journal of Pure and Applied Algebra
Volume	202
Issue number	1-3
DOIs	https://doi.org/10.1016/j.jpaa.2005.02.004
State	Published - 1 Nov 2005

Access to Document

10.1016/j.jpaa.2005.02.004

Cite this

@article{188cc8a6e86d4d6d88e982e19e717350,

title = "Automatic quotients of free groups",

abstract = "Automatic groups admitting prefix-closed automatic structures with uniqueness are characterized as the quotients of free groups by normal subgroups possessing sets of free generators satisfying certain language-theoretic conditions.",

author = "Gilman, \{Robert H.\}",

year = "2005",

month = nov,

day = "1",

doi = "10.1016/j.jpaa.2005.02.004",

language = "English",

volume = "202",

pages = "313--324",

number = "1-3",

}

TY - JOUR

T1 - Automatic quotients of free groups

AU - Gilman, Robert H.

PY - 2005/11/1

Y1 - 2005/11/1

N2 - Automatic groups admitting prefix-closed automatic structures with uniqueness are characterized as the quotients of free groups by normal subgroups possessing sets of free generators satisfying certain language-theoretic conditions.

AB - Automatic groups admitting prefix-closed automatic structures with uniqueness are characterized as the quotients of free groups by normal subgroups possessing sets of free generators satisfying certain language-theoretic conditions.

UR - https://www.scopus.com/pages/publications/23944462082

UR - https://www.scopus.com/inward/citedby.url?scp=23944462082&partnerID=8YFLogxK

U2 - 10.1016/j.jpaa.2005.02.004

DO - 10.1016/j.jpaa.2005.02.004

M3 - Article

AN - SCOPUS:23944462082

SN - 0022-4049

VL - 202

SP - 313

EP - 324

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 1-3

ER -

Automatic quotients of free groups

Abstract

Access to Document

Other files and links

Fingerprint

Cite this