Minimal supplements of maximal tori in their normalizers for the groups

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Minimal supplements of maximal tori in their normalizers for the groups. / Galt, A. A.; Staroletov, A. M.

In: Izvestiya Mathematics, Vol. 86, No. 1, 01.02.2022, p. 126-149.

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

BibTeX

@article{bf1d767696f048ffbe1f152e7eda11c1,

title = "Minimal supplements of maximal tori in their normalizers for the groups",

abstract = "Let be a finite group of Lie type and the Weyl group of . For every maximal torus of, we find the minimal order of a supplement of in its algebraic normalizer . In particular, we find all the maximal tori that have a complement in . Let correspond to an element of . We find the minimal orders of the lifts of the elements in . ",

keywords = "finite group of Lie type F-4, Weyl group, maximal torus, algebraic normalizer, minimal supplement",

author = "Galt, {A. A.} and Staroletov, {A. M.}",

note = "Publisher Copyright: {\textcopyright} 2022 Russian Academy of Sciences (DoM) and London Mathematical Society.",

year = "2022",

month = feb,

day = "1",

doi = "10.1070/IM9083",

language = "English",

volume = "86",

pages = "126--149",

journal = "Izvestiya Mathematics",

issn = "1064-5632",

publisher = "IOP Publishing Ltd.",

number = "1",

}

RIS

TY - JOUR

T1 - Minimal supplements of maximal tori in their normalizers for the groups

AU - Galt, A. A.

AU - Staroletov, A. M.

PY - 2022/2/1

Y1 - 2022/2/1

N2 - Let be a finite group of Lie type and the Weyl group of . For every maximal torus of, we find the minimal order of a supplement of in its algebraic normalizer . In particular, we find all the maximal tori that have a complement in . Let correspond to an element of . We find the minimal orders of the lifts of the elements in .

AB - Let be a finite group of Lie type and the Weyl group of . For every maximal torus of, we find the minimal order of a supplement of in its algebraic normalizer . In particular, we find all the maximal tori that have a complement in . Let correspond to an element of . We find the minimal orders of the lifts of the elements in .

KW - finite group of Lie type F-4

KW - Weyl group

KW - maximal torus

KW - algebraic normalizer

KW - minimal supplement

UR - http://www.scopus.com/inward/record.url?scp=85128175009&partnerID=8YFLogxK

U2 - 10.1070/IM9083

DO - 10.1070/IM9083

M3 - Article

VL - 86

SP - 126

EP - 149

JO - Izvestiya Mathematics

JF - Izvestiya Mathematics

SN - 1064-5632

IS - 1

ER -

ID: 35900489