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Decompositions of congruence subgroups of Chevalley groups. / Sinchuk, Sergey; Smolensky, Andrei.

в: International Journal of Algebra and Computation, Том 28, № 6, 09.2018, стр. 935-958.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Sinchuk, S & Smolensky, A 2018, 'Decompositions of congruence subgroups of Chevalley groups', International Journal of Algebra and Computation, Том. 28, № 6, стр. 935-958. https://doi.org/10.1142/S0218196718500418

APA

Sinchuk, S., & Smolensky, A. (2018). Decompositions of congruence subgroups of Chevalley groups. International Journal of Algebra and Computation, 28(6), 935-958. https://doi.org/10.1142/S0218196718500418

Vancouver

Sinchuk S, Smolensky A. Decompositions of congruence subgroups of Chevalley groups. International Journal of Algebra and Computation. 2018 Сент.;28(6):935-958. https://doi.org/10.1142/S0218196718500418

Author

Sinchuk, Sergey ; Smolensky, Andrei. / Decompositions of congruence subgroups of Chevalley groups. в: International Journal of Algebra and Computation. 2018 ; Том 28, № 6. стр. 935-958.

BibTeX

@article{bce3525243f84f5d926d75a4bc5d1d3f,
title = "Decompositions of congruence subgroups of Chevalley groups",
abstract = "We formulate and prove relative versions of several decompositions known in the theory of Chevalley groups over commutative rings. These decompositions are used to obtain factorizations in terms of subsystem subgroups of type A(l) and upper estimates of the width of principal congruence subgroups with respect to Tits-Vaserstein generators.",
keywords = "bounded generation, Parabolic decomposition, product decomposition, SL-factorization, subsystem factorization",
author = "Sergey Sinchuk and Andrei Smolensky",
year = "2018",
month = sep,
doi = "10.1142/S0218196718500418",
language = "Английский",
volume = "28",
pages = "935--958",
journal = "International Journal of Algebra and Computation",
issn = "0218-1967",
publisher = "WORLD SCIENTIFIC PUBL CO PTE LTD",
number = "6",

}

RIS

TY - JOUR

T1 - Decompositions of congruence subgroups of Chevalley groups

AU - Sinchuk, Sergey

AU - Smolensky, Andrei

PY - 2018/9

Y1 - 2018/9

N2 - We formulate and prove relative versions of several decompositions known in the theory of Chevalley groups over commutative rings. These decompositions are used to obtain factorizations in terms of subsystem subgroups of type A(l) and upper estimates of the width of principal congruence subgroups with respect to Tits-Vaserstein generators.

AB - We formulate and prove relative versions of several decompositions known in the theory of Chevalley groups over commutative rings. These decompositions are used to obtain factorizations in terms of subsystem subgroups of type A(l) and upper estimates of the width of principal congruence subgroups with respect to Tits-Vaserstein generators.

KW - bounded generation

KW - Parabolic decomposition

KW - product decomposition

KW - SL-factorization

KW - subsystem factorization

UR - http://www.scopus.com/inward/record.url?scp=85049571312&partnerID=8YFLogxK

U2 - 10.1142/S0218196718500418

DO - 10.1142/S0218196718500418

M3 - статья

AN - SCOPUS:85049571312

VL - 28

SP - 935

EP - 958

JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

SN - 0218-1967

IS - 6

ER -

ID: 36088535