Standard

Self-normalizing nilpotent subgroups of the full linear group over a finite field. / Vavilov, N. A.

в: Journal of Soviet Mathematics, Том 17, № 4, 11.1981, стр. 1963-1967.

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Harvard

Vavilov, NA 1981, 'Self-normalizing nilpotent subgroups of the full linear group over a finite field', Journal of Soviet Mathematics, Том. 17, № 4, стр. 1963-1967. https://doi.org/10.1007/BF01465453

APA

Vavilov, N. A. (1981). Self-normalizing nilpotent subgroups of the full linear group over a finite field. Journal of Soviet Mathematics, 17(4), 1963-1967. https://doi.org/10.1007/BF01465453

Vancouver

Vavilov NA. Self-normalizing nilpotent subgroups of the full linear group over a finite field. Journal of Soviet Mathematics. 1981 Нояб.;17(4):1963-1967. https://doi.org/10.1007/BF01465453

Author

Vavilov, N. A. / Self-normalizing nilpotent subgroups of the full linear group over a finite field. в: Journal of Soviet Mathematics. 1981 ; Том 17, № 4. стр. 1963-1967.

BibTeX

@article{e4e7a00c15554ae6b2db063700e8072b,
title = "Self-normalizing nilpotent subgroups of the full linear group over a finite field",
abstract = "It has been proved (Ref. Zh. Mat., 1977, 4A170) that in the full linear group GL(n,q), n=2, 3, over a finite field of q elements, q odd or q=2, the only self-normalizing nilpotent subgroups are the normalizers of Sylow 2-subgroups and that for even q>2 there are no such subgroups. In the present note it is deduced from results of D. A. Suprunenko and R. F. Apatenok (Re. Zh. Mat., 1960, 13586; 1962, 9A150) that this is true for any n.",
author = "Vavilov, {N. A.}",
note = "Copyright: Copyright 2007 Elsevier B.V., All rights reserved.",
year = "1981",
month = nov,
doi = "10.1007/BF01465453",
language = "English",
volume = "17",
pages = "1963--1967",
journal = "Journal of Mathematical Sciences (Switzerland)",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Self-normalizing nilpotent subgroups of the full linear group over a finite field

AU - Vavilov, N. A.

N1 - Copyright: Copyright 2007 Elsevier B.V., All rights reserved.

PY - 1981/11

Y1 - 1981/11

N2 - It has been proved (Ref. Zh. Mat., 1977, 4A170) that in the full linear group GL(n,q), n=2, 3, over a finite field of q elements, q odd or q=2, the only self-normalizing nilpotent subgroups are the normalizers of Sylow 2-subgroups and that for even q>2 there are no such subgroups. In the present note it is deduced from results of D. A. Suprunenko and R. F. Apatenok (Re. Zh. Mat., 1960, 13586; 1962, 9A150) that this is true for any n.

AB - It has been proved (Ref. Zh. Mat., 1977, 4A170) that in the full linear group GL(n,q), n=2, 3, over a finite field of q elements, q odd or q=2, the only self-normalizing nilpotent subgroups are the normalizers of Sylow 2-subgroups and that for even q>2 there are no such subgroups. In the present note it is deduced from results of D. A. Suprunenko and R. F. Apatenok (Re. Zh. Mat., 1960, 13586; 1962, 9A150) that this is true for any n.

UR - http://www.scopus.com/inward/record.url?scp=34250238003&partnerID=8YFLogxK

U2 - 10.1007/BF01465453

DO - 10.1007/BF01465453

M3 - Article

AN - SCOPUS:34250238003

VL - 17

SP - 1963

EP - 1967

JO - Journal of Mathematical Sciences (Switzerland)

JF - Journal of Mathematical Sciences (Switzerland)

SN - 1072-3374

IS - 4

ER -

ID: 76482626