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Palindromic widths of nilpotent and wreath products. / Bardakov, Valeriy G.; Bryukhanov, Oleg V.; Gongopadhyay, Krishnendu.

в: Proceedings of the Indian Academy of Sciences: Mathematical Sciences, Том 127, № 1, 02.2017, стр. 99-108.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

Harvard

Bardakov, VG, Bryukhanov, OV & Gongopadhyay, K 2017, 'Palindromic widths of nilpotent and wreath products', Proceedings of the Indian Academy of Sciences: Mathematical Sciences, Том. 127, № 1, стр. 99-108. https://doi.org/10.1007/s12044-016-0296-1

APA

Bardakov, V. G., Bryukhanov, O. V., & Gongopadhyay, K. (2017). Palindromic widths of nilpotent and wreath products. Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 127(1), 99-108. https://doi.org/10.1007/s12044-016-0296-1

Vancouver

Bardakov VG, Bryukhanov OV, Gongopadhyay K. Palindromic widths of nilpotent and wreath products. Proceedings of the Indian Academy of Sciences: Mathematical Sciences. 2017 февр.;127(1):99-108. doi: 10.1007/s12044-016-0296-1

Author

Bardakov, Valeriy G. ; Bryukhanov, Oleg V. ; Gongopadhyay, Krishnendu. / Palindromic widths of nilpotent and wreath products. в: Proceedings of the Indian Academy of Sciences: Mathematical Sciences. 2017 ; Том 127, № 1. стр. 99-108.

BibTeX

@article{fc659c1db50146028ddd57de553d92fd,
title = "Palindromic widths of nilpotent and wreath products",
abstract = "We prove that the nilpotent product of a set of groups A1,..., As has finite palindromic width if and only if the palindromic widths of Ai, i = 1,..., s, are finite. We give a new proof that the commutator width of Fn ς K is infinite, where Fn is a free group of rank n ≥ 2 and K is a finite group. This result, combining with a result of Fink [9] gives examples of groups with infinite commutator width but finite palindromic width with respect to some generating set.",
keywords = "Commutator width, Nilpotent product, Palindromic width, Wreath products, commutator width, wreath products, nilpotent product",
author = "Bardakov, {Valeriy G.} and Bryukhanov, {Oleg V.} and Krishnendu Gongopadhyay",
note = "Publisher Copyright: {\textcopyright} Indian Academy of Sciences.",
year = "2017",
month = feb,
doi = "10.1007/s12044-016-0296-1",
language = "English",
volume = "127",
pages = "99--108",
journal = "Proceedings of the Indian Academy of Sciences: Mathematical Sciences",
issn = "0253-4142",
publisher = "Indian Academy of Sciences",
number = "1",

}

RIS

TY - JOUR

T1 - Palindromic widths of nilpotent and wreath products

AU - Bardakov, Valeriy G.

AU - Bryukhanov, Oleg V.

AU - Gongopadhyay, Krishnendu

N1 - Publisher Copyright: © Indian Academy of Sciences.

PY - 2017/2

Y1 - 2017/2

N2 - We prove that the nilpotent product of a set of groups A1,..., As has finite palindromic width if and only if the palindromic widths of Ai, i = 1,..., s, are finite. We give a new proof that the commutator width of Fn ς K is infinite, where Fn is a free group of rank n ≥ 2 and K is a finite group. This result, combining with a result of Fink [9] gives examples of groups with infinite commutator width but finite palindromic width with respect to some generating set.

AB - We prove that the nilpotent product of a set of groups A1,..., As has finite palindromic width if and only if the palindromic widths of Ai, i = 1,..., s, are finite. We give a new proof that the commutator width of Fn ς K is infinite, where Fn is a free group of rank n ≥ 2 and K is a finite group. This result, combining with a result of Fink [9] gives examples of groups with infinite commutator width but finite palindromic width with respect to some generating set.

KW - Commutator width

KW - Nilpotent product

KW - Palindromic width

KW - Wreath products

KW - commutator width

KW - wreath products

KW - nilpotent product

UR - http://www.scopus.com/inward/record.url?scp=85012036980&partnerID=8YFLogxK

U2 - 10.1007/s12044-016-0296-1

DO - 10.1007/s12044-016-0296-1

M3 - Article

AN - SCOPUS:85012036980

VL - 127

SP - 99

EP - 108

JO - Proceedings of the Indian Academy of Sciences: Mathematical Sciences

JF - Proceedings of the Indian Academy of Sciences: Mathematical Sciences

SN - 0253-4142

IS - 1

ER -

ID: 9033606