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Short unitriangular factorizations of SL2(ℤ[1/p]). / Vsemirnov, M.

In: Quarterly Journal of Mathematics, Vol. 65, No. 1, 2014, p. 279-290.

Research output: Contribution to journal › Article

Harvard

Vsemirnov, M 2014, 'Short unitriangular factorizations of SL2(ℤ[1/p])', Quarterly Journal of Mathematics, vol. 65, no. 1, pp. 279-290. https://doi.org/10.1093/qmath/has044

APA

Vsemirnov, M. (2014). Short unitriangular factorizations of SL2(ℤ[1/p]). Quarterly Journal of Mathematics, 65(1), 279-290. https://doi.org/10.1093/qmath/has044

Vancouver

Vsemirnov M. Short unitriangular factorizations of SL2(ℤ[1/p]). Quarterly Journal of Mathematics. 2014;65(1):279-290. https://doi.org/10.1093/qmath/has044

Author

Vsemirnov, M. / Short unitriangular factorizations of SL2(ℤ[1/p]). In: Quarterly Journal of Mathematics. 2014 ; Vol. 65, No. 1. pp. 279-290.

BibTeX

@article{e8a1a958be7d4bb1a6fb05353f2a5005,
title = "Short unitriangular factorizations of SL2(ℤ[1/p])",
abstract = "We prove that every matrix in SL 2(ℤ[1/p]) can be written as a product of at most five elementary matrices. This statement can also be interpreted in terms of short division chains in ℤ[1/p]. Similar bounds for the number of factors were known previously only under the generalized Riemann hypothesis. {\textcopyright} 2013. Published by Oxford University Press.",
author = "M. Vsemirnov",
year = "2014",
doi = "10.1093/qmath/has044",
language = "English",
volume = "65",
pages = "279--290",
journal = "Quarterly Journal of Mathematics",
issn = "0033-5606",
publisher = "Oxford University Press",
number = "1",

}

RIS

TY - JOUR

T1 - Short unitriangular factorizations of SL2(ℤ[1/p])

AU - Vsemirnov, M.

PY - 2014

Y1 - 2014

N2 - We prove that every matrix in SL 2(ℤ[1/p]) can be written as a product of at most five elementary matrices. This statement can also be interpreted in terms of short division chains in ℤ[1/p]. Similar bounds for the number of factors were known previously only under the generalized Riemann hypothesis. © 2013. Published by Oxford University Press.

AB - We prove that every matrix in SL 2(ℤ[1/p]) can be written as a product of at most five elementary matrices. This statement can also be interpreted in terms of short division chains in ℤ[1/p]. Similar bounds for the number of factors were known previously only under the generalized Riemann hypothesis. © 2013. Published by Oxford University Press.

U2 - 10.1093/qmath/has044

DO - 10.1093/qmath/has044

M3 - Article

VL - 65

SP - 279

EP - 290

JO - Quarterly Journal of Mathematics

JF - Quarterly Journal of Mathematics

SN - 0033-5606

IS - 1

ER -

ID: 5676010