Characterization of simple symplectic groups of degree 4 over locally finite fields of characteristic 2 in the class of periodic groups

Standard

Characterization of simple symplectic groups of degree 4 over locally finite fields of characteristic 2 in the class of periodic groups. / Lytkina, D. V.; Mazurov, V. D.

In: Siberian Mathematical Journal, Vol. 58, No. 5, 01.09.2017, p. 850-858.

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

BibTeX

@article{d1371ed15408488db5be62b791f7896e,

title = "Characterization of simple symplectic groups of degree 4 over locally finite fields of characteristic 2 in the class of periodic groups",

abstract = "Suppose that each finite subgroup of even order of a periodic group containing an element of order 2 lies in a subgroup isomorphic to a simple symplectic group of degree 4 over some finite field of characteristic 2. We prove that in that case the group is isomorphic to a simple symplectic group S4(Q) over some locally finite field Q of characteristic 2.",

keywords = "locally finite group, period, periodic group, symplectic group",

author = "Lytkina, {D. V.} and Mazurov, {V. D.}",

note = "Publisher Copyright: {\textcopyright} 2017, Pleiades Publishing, Ltd.",

year = "2017",

month = sep,

day = "1",

doi = "10.1134/S0037446617050123",

language = "English",

volume = "58",

pages = "850--858",

journal = "Siberian Mathematical Journal",

issn = "0037-4466",

publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",

number = "5",

}

RIS

TY - JOUR

T1 - Characterization of simple symplectic groups of degree 4 over locally finite fields of characteristic 2 in the class of periodic groups

AU - Lytkina, D. V.

AU - Mazurov, V. D.

PY - 2017/9/1

Y1 - 2017/9/1

N2 - Suppose that each finite subgroup of even order of a periodic group containing an element of order 2 lies in a subgroup isomorphic to a simple symplectic group of degree 4 over some finite field of characteristic 2. We prove that in that case the group is isomorphic to a simple symplectic group S4(Q) over some locally finite field Q of characteristic 2.

AB - Suppose that each finite subgroup of even order of a periodic group containing an element of order 2 lies in a subgroup isomorphic to a simple symplectic group of degree 4 over some finite field of characteristic 2. We prove that in that case the group is isomorphic to a simple symplectic group S4(Q) over some locally finite field Q of characteristic 2.

KW - locally finite group

KW - period

KW - periodic group

KW - symplectic group

UR - http://www.scopus.com/inward/record.url?scp=85032016437&partnerID=8YFLogxK

U2 - 10.1134/S0037446617050123

DO - 10.1134/S0037446617050123

M3 - Article

AN - SCOPUS:85032016437

VL - 58

SP - 850

EP - 858

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 5

ER -

ID: 9032122