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On element orders in covers of L4(q) and U4(q). / Grechkoseeva, M. A.; Skresanov, S.

In: Сибирские электронные математические известия, Vol. 17, 36, 2020, p. 585-589.

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

Harvard

Grechkoseeva, MA & Skresanov, S 2020, 'On element orders in covers of L4(q) and U4(q)', Сибирские электронные математические известия, vol. 17, 36, pp. 585-589. https://doi.org/10.33048/semi.2020.17.037

APA

Grechkoseeva, M. A., & Skresanov, S. (2020). On element orders in covers of L4(q) and U4(q). Сибирские электронные математические известия, 17, 585-589. [36]. https://doi.org/10.33048/semi.2020.17.037

Vancouver

Grechkoseeva MA, Skresanov S. On element orders in covers of L4(q) and U4(q). Сибирские электронные математические известия. 2020;17:585-589. 36. doi: 10.33048/semi.2020.17.037

Author

Grechkoseeva, M. A. ; Skresanov, S. / On element orders in covers of L4(q) and U4(q). In: Сибирские электронные математические известия. 2020 ; Vol. 17. pp. 585-589.

BibTeX

@article{da7ad51dad3341218f186becce9e4636,
title = "On element orders in covers of L4(q) and U4(q)",
abstract = "Suppose that L is one of the finite simple groups PSL4(q) or PSU4(q) and L acts on a vector space W over a field whose characteristic divides q. We prove that the natural semidirect product of W and L contains an element whose order differs from the order of any element of L, thus answering questions 14.60 and 17.73 (a) of the Kourovka Notebook.",
keywords = "simple linear group, simple unitary group, orders of elements, modular representation, defining characteristic",
author = "Grechkoseeva, {M. A.} and S. Skresanov",
note = "Funding Information: Grechkoseeva, M.A., Skresanov, S.V., On element orders in covers of and U4(q). ⃝c 2020 Grechkoseeva M.A., Skresanov S.V. The reported study was funded by RFBR, project number 18-31-20011. Publisher Copyright: {\textcopyright} 2020 grechkoseevam.a.,skresanov s. v.",
year = "2020",
doi = "10.33048/semi.2020.17.037",
language = "English",
volume = "17",
pages = "585--589",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",

}

RIS

TY - JOUR

T1 - On element orders in covers of L4(q) and U4(q)

AU - Grechkoseeva, M. A.

AU - Skresanov, S.

N1 - Funding Information: Grechkoseeva, M.A., Skresanov, S.V., On element orders in covers of and U4(q). ⃝c 2020 Grechkoseeva M.A., Skresanov S.V. The reported study was funded by RFBR, project number 18-31-20011. Publisher Copyright: © 2020 grechkoseevam.a.,skresanov s. v.

PY - 2020

Y1 - 2020

N2 - Suppose that L is one of the finite simple groups PSL4(q) or PSU4(q) and L acts on a vector space W over a field whose characteristic divides q. We prove that the natural semidirect product of W and L contains an element whose order differs from the order of any element of L, thus answering questions 14.60 and 17.73 (a) of the Kourovka Notebook.

AB - Suppose that L is one of the finite simple groups PSL4(q) or PSU4(q) and L acts on a vector space W over a field whose characteristic divides q. We prove that the natural semidirect product of W and L contains an element whose order differs from the order of any element of L, thus answering questions 14.60 and 17.73 (a) of the Kourovka Notebook.

KW - simple linear group

KW - simple unitary group

KW - orders of elements

KW - modular representation

KW - defining characteristic

UR - http://www.scopus.com/inward/record.url?scp=85100088421&partnerID=8YFLogxK

UR - https://elibrary.ru/item.asp?id=44726549

U2 - 10.33048/semi.2020.17.037

DO - 10.33048/semi.2020.17.037

M3 - Article

VL - 17

SP - 585

EP - 589

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

M1 - 36

ER -

ID: 26076206