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Periodic Groups Saturated with the Linear Groups of Degree 2 and the Unitary Groups of Degree 3 over Finite Fields of Odd Characteristic. / Lytkina, D. V.; Shlepkin, A. A.

In: Siberian Advances in Mathematics, Vol. 28, No. 3, 01.07.2018, p. 175-186.

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

Harvard

Lytkina, DV & Shlepkin, AA 2018, 'Periodic Groups Saturated with the Linear Groups of Degree 2 and the Unitary Groups of Degree 3 over Finite Fields of Odd Characteristic', Siberian Advances in Mathematics, vol. 28, no. 3, pp. 175-186. https://doi.org/10.3103/S1055134418030033

APA

Lytkina, D. V., & Shlepkin, A. A. (2018). Periodic Groups Saturated with the Linear Groups of Degree 2 and the Unitary Groups of Degree 3 over Finite Fields of Odd Characteristic. Siberian Advances in Mathematics, 28(3), 175-186. https://doi.org/10.3103/S1055134418030033

Vancouver

Lytkina DV, Shlepkin AA. Periodic Groups Saturated with the Linear Groups of Degree 2 and the Unitary Groups of Degree 3 over Finite Fields of Odd Characteristic. Siberian Advances in Mathematics. 2018 Jul 1;28(3):175-186. doi: 10.3103/S1055134418030033

Author

Lytkina, D. V. ; Shlepkin, A. A. / Periodic Groups Saturated with the Linear Groups of Degree 2 and the Unitary Groups of Degree 3 over Finite Fields of Odd Characteristic. In: Siberian Advances in Mathematics. 2018 ; Vol. 28, No. 3. pp. 175-186.

BibTeX

@article{c2e8ef9d27cf4a928314cf523f20d43b,
title = "Periodic Groups Saturated with the Linear Groups of Degree 2 and the Unitary Groups of Degree 3 over Finite Fields of Odd Characteristic",
abstract = "Let M denote the set of the simple 3-dimensional unitary groups U3 and the simple linear groups L2 over finite fields of odd characteristic.We prove that each periodic group saturated with groups in M is locally finite and isomorphic to either U3(Q) or L2(Q) for a suitable locally finite field Q of odd characteristic.",
keywords = "group saturated with a set of groups, periodic group",
author = "Lytkina, {D. V.} and Shlepkin, {A. A.}",
year = "2018",
month = jul,
day = "1",
doi = "10.3103/S1055134418030033",
language = "English",
volume = "28",
pages = "175--186",
journal = "Siberian Advances in Mathematics",
issn = "1055-1344",
publisher = "PLEIADES PUBLISHING INC",
number = "3",

}

RIS

TY - JOUR

T1 - Periodic Groups Saturated with the Linear Groups of Degree 2 and the Unitary Groups of Degree 3 over Finite Fields of Odd Characteristic

AU - Lytkina, D. V.

AU - Shlepkin, A. A.

PY - 2018/7/1

Y1 - 2018/7/1

N2 - Let M denote the set of the simple 3-dimensional unitary groups U3 and the simple linear groups L2 over finite fields of odd characteristic.We prove that each periodic group saturated with groups in M is locally finite and isomorphic to either U3(Q) or L2(Q) for a suitable locally finite field Q of odd characteristic.

AB - Let M denote the set of the simple 3-dimensional unitary groups U3 and the simple linear groups L2 over finite fields of odd characteristic.We prove that each periodic group saturated with groups in M is locally finite and isomorphic to either U3(Q) or L2(Q) for a suitable locally finite field Q of odd characteristic.

KW - group saturated with a set of groups

KW - periodic group

UR - http://www.scopus.com/inward/record.url?scp=85052116403&partnerID=8YFLogxK

U2 - 10.3103/S1055134418030033

DO - 10.3103/S1055134418030033

M3 - Article

AN - SCOPUS:85052116403

VL - 28

SP - 175

EP - 186

JO - Siberian Advances in Mathematics

JF - Siberian Advances in Mathematics

SN - 1055-1344

IS - 3

ER -

ID: 16266133