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Characterization of Simple Symplectic Groups of Degree 4 over Locally Finite Fields in the Class of Periodic Groups. / Lytkina, D. V.; Mazurov, V. D.

In: Algebra and Logic, Vol. 57, No. 3, 01.07.2018, p. 201-210.

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

Harvard

Lytkina, DV & Mazurov, VD 2018, 'Characterization of Simple Symplectic Groups of Degree 4 over Locally Finite Fields in the Class of Periodic Groups', Algebra and Logic, vol. 57, no. 3, pp. 201-210. https://doi.org/10.1007/s10469-018-9493-6

APA

Lytkina, D. V., & Mazurov, V. D. (2018). Characterization of Simple Symplectic Groups of Degree 4 over Locally Finite Fields in the Class of Periodic Groups. Algebra and Logic, 57(3), 201-210. https://doi.org/10.1007/s10469-018-9493-6

Vancouver

Lytkina DV, Mazurov VD. Characterization of Simple Symplectic Groups of Degree 4 over Locally Finite Fields in the Class of Periodic Groups. Algebra and Logic. 2018 Jul 1;57(3):201-210. doi: 10.1007/s10469-018-9493-6

Author

Lytkina, D. V. ; Mazurov, V. D. / Characterization of Simple Symplectic Groups of Degree 4 over Locally Finite Fields in the Class of Periodic Groups. In: Algebra and Logic. 2018 ; Vol. 57, No. 3. pp. 201-210.

BibTeX

@article{d8b36318686f4cb098612c1320e11f59,
title = "Characterization of Simple Symplectic Groups of Degree 4 over Locally Finite Fields in the Class of Periodic Groups",
abstract = "Let G be a periodic group containing an element of order 2 such that each of its finite subgroups of even order lies in a finite subgroup isomorphic to a simple symplectic group of degree 4. It is shown that G is isomorphic to a simple symplectic group S4(Q) of degree 4 over some locally finite field Q.",
keywords = "locally finite field, periodic group, simple symplectic group",
author = "Lytkina, {D. V.} and Mazurov, {V. D.}",
year = "2018",
month = jul,
day = "1",
doi = "10.1007/s10469-018-9493-6",
language = "English",
volume = "57",
pages = "201--210",
journal = "Algebra and Logic",
issn = "0002-5232",
publisher = "Springer US",
number = "3",

}

RIS

TY - JOUR

T1 - Characterization of Simple Symplectic Groups of Degree 4 over Locally Finite Fields in the Class of Periodic Groups

AU - Lytkina, D. V.

AU - Mazurov, V. D.

PY - 2018/7/1

Y1 - 2018/7/1

N2 - Let G be a periodic group containing an element of order 2 such that each of its finite subgroups of even order lies in a finite subgroup isomorphic to a simple symplectic group of degree 4. It is shown that G is isomorphic to a simple symplectic group S4(Q) of degree 4 over some locally finite field Q.

AB - Let G be a periodic group containing an element of order 2 such that each of its finite subgroups of even order lies in a finite subgroup isomorphic to a simple symplectic group of degree 4. It is shown that G is isomorphic to a simple symplectic group S4(Q) of degree 4 over some locally finite field Q.

KW - locally finite field

KW - periodic group

KW - simple symplectic group

UR - http://www.scopus.com/inward/record.url?scp=85054160316&partnerID=8YFLogxK

U2 - 10.1007/s10469-018-9493-6

DO - 10.1007/s10469-018-9493-6

M3 - Article

AN - SCOPUS:85054160316

VL - 57

SP - 201

EP - 210

JO - Algebra and Logic

JF - Algebra and Logic

SN - 0002-5232

IS - 3

ER -

ID: 16956396