Groups generated by 3-state automata over a 2-letter alphabet. ii

I. Bondarenko; R. Grigorchuk; R. Kravchenko; Y. Muntyan; V. Nekrashevych; D. Savchuk; Z. Šunić

doi:10.1007/s10958-008-9262-5

Groups generated by 3-state automata over a 2-letter alphabet. ii

I. Bondarenko, R. Grigorchuk, R. Kravchenko, Y. Muntyan, V. Nekrashevych, D. Savchuk, Z. Šunić

Mathematics

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

5 Scopus citations

Abstract

This is the second in a series of papers presenting results on the classification of groups generated by 3-state automata over a 2-letter alphabet. Among the examples treated here, one can find automata generating the free product of 3 cyclic groups of order 2, a virtually free abelian group of rank 3, a solvable group of derived length 3, some virtually torsion-free weakly branch groups, and other interesting self-similar groups.

Original language	English (US)
Pages (from-to)	187-208
Number of pages	22
Journal	Journal of Mathematical Sciences (United States)
Volume	156
Issue number	1
DOIs	https://doi.org/10.1007/s10958-008-9262-5
State	Published - 2009

Funding

This work was partially supported by NSF grants DMS-0456185, DMS-0600975,

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Applied Mathematics

Access to Document

10.1007/s10958-008-9262-5

Cite this

@article{e9a220ae257c4c26909a81e5072c3b5e,

title = "Groups generated by 3-state automata over a 2-letter alphabet. ii",

abstract = "This is the second in a series of papers presenting results on the classification of groups generated by 3-state automata over a 2-letter alphabet. Among the examples treated here, one can find automata generating the free product of 3 cyclic groups of order 2, a virtually free abelian group of rank 3, a solvable group of derived length 3, some virtually torsion-free weakly branch groups, and other interesting self-similar groups.",

author = "I. Bondarenko and R. Grigorchuk and R. Kravchenko and Y. Muntyan and V. Nekrashevych and D. Savchuk and Z. {\v S}uni{\'c}",

note = "Publisher Copyright: {\textcopyright} 2009 Springer Science+Business Media, Inc.",

year = "2009",

doi = "10.1007/s10958-008-9262-5",

language = "English (US)",

volume = "156",

pages = "187--208",

journal = "Journal of Mathematical Sciences (United States)",

issn = "1072-3374",

publisher = "Springer Science and Business Media Deutschland GmbH",

number = "1",

}

TY - JOUR

T1 - Groups generated by 3-state automata over a 2-letter alphabet. ii

AU - Bondarenko, I.

AU - Grigorchuk, R.

AU - Kravchenko, R.

AU - Muntyan, Y.

AU - Nekrashevych, V.

AU - Savchuk, D.

AU - Šunić, Z.

PY - 2009

Y1 - 2009

N2 - This is the second in a series of papers presenting results on the classification of groups generated by 3-state automata over a 2-letter alphabet. Among the examples treated here, one can find automata generating the free product of 3 cyclic groups of order 2, a virtually free abelian group of rank 3, a solvable group of derived length 3, some virtually torsion-free weakly branch groups, and other interesting self-similar groups.

AB - This is the second in a series of papers presenting results on the classification of groups generated by 3-state automata over a 2-letter alphabet. Among the examples treated here, one can find automata generating the free product of 3 cyclic groups of order 2, a virtually free abelian group of rank 3, a solvable group of derived length 3, some virtually torsion-free weakly branch groups, and other interesting self-similar groups.

UR - http://www.scopus.com/inward/record.url?scp=84874629153&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84874629153&partnerID=8YFLogxK

U2 - 10.1007/s10958-008-9262-5

DO - 10.1007/s10958-008-9262-5

M3 - Article

AN - SCOPUS:84874629153

SN - 1072-3374

VL - 156

SP - 187

EP - 208

JO - Journal of Mathematical Sciences (United States)

JF - Journal of Mathematical Sciences (United States)

IS - 1

ER -

Groups generated by 3-state automata over a 2-letter alphabet. ii

Abstract

Funding

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this