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On the pronormality of subgroups of odd index in finite simple symplectic groups. / Kondrat’Ev, Anatoly S.; Maslova, Natalia; Revin, Danila.

Groups St Andrews 2017 in Birmingham. Cambridge University Press, 2019. p. 406-418.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review

Harvard

Kondrat’Ev, AS, Maslova, N & Revin, D 2019, On the pronormality of subgroups of odd index in finite simple symplectic groups. in Groups St Andrews 2017 in Birmingham. Cambridge University Press, pp. 406-418. https://doi.org/10.1017/9781108692397.0016

APA

Kondrat’Ev, A. S., Maslova, N., & Revin, D. (2019). On the pronormality of subgroups of odd index in finite simple symplectic groups. In Groups St Andrews 2017 in Birmingham (pp. 406-418). Cambridge University Press. https://doi.org/10.1017/9781108692397.0016

Vancouver

Kondrat’Ev AS, Maslova N, Revin D. On the pronormality of subgroups of odd index in finite simple symplectic groups. In Groups St Andrews 2017 in Birmingham. Cambridge University Press. 2019. p. 406-418 doi: 10.1017/9781108692397.0016

Author

Kondrat’Ev, Anatoly S. ; Maslova, Natalia ; Revin, Danila. / On the pronormality of subgroups of odd index in finite simple symplectic groups. Groups St Andrews 2017 in Birmingham. Cambridge University Press, 2019. pp. 406-418

BibTeX

@inbook{948a2b83567d46839bdf79c3347f0f52,
title = "On the pronormality of subgroups of odd index in finite simple symplectic groups",
abstract = "A subgroup H of a group G is said to be pronormal in G if H and Hg are conjugate in <H, Hg> for every g E G. Some problems in finite group theory, combinatorics, and permutation group theory were solved in terms of pronormality. In 2012, E. Vdovin and the third author conjectured that the subgroups of odd index are pronormal in finite simple groups. In this paper we disprove their conjecture and discuss recent progress in the classification of finite simple groups in which the subgroups of odd index are pronormal.",
author = "Kondrat{\textquoteright}Ev, {Anatoly S.} and Natalia Maslova and Danila Revin",
note = "Publisher Copyright: {\textcopyright} Cambridge University Press 2019.",
year = "2019",
month = jan,
day = "1",
doi = "10.1017/9781108692397.0016",
language = "English",
isbn = "9781108728744",
pages = "406--418",
booktitle = "Groups St Andrews 2017 in Birmingham",
publisher = "Cambridge University Press",
address = "United Kingdom",

}

RIS

TY - CHAP

T1 - On the pronormality of subgroups of odd index in finite simple symplectic groups

AU - Kondrat’Ev, Anatoly S.

AU - Maslova, Natalia

AU - Revin, Danila

N1 - Publisher Copyright: © Cambridge University Press 2019.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - A subgroup H of a group G is said to be pronormal in G if H and Hg are conjugate in <H, Hg> for every g E G. Some problems in finite group theory, combinatorics, and permutation group theory were solved in terms of pronormality. In 2012, E. Vdovin and the third author conjectured that the subgroups of odd index are pronormal in finite simple groups. In this paper we disprove their conjecture and discuss recent progress in the classification of finite simple groups in which the subgroups of odd index are pronormal.

AB - A subgroup H of a group G is said to be pronormal in G if H and Hg are conjugate in <H, Hg> for every g E G. Some problems in finite group theory, combinatorics, and permutation group theory were solved in terms of pronormality. In 2012, E. Vdovin and the third author conjectured that the subgroups of odd index are pronormal in finite simple groups. In this paper we disprove their conjecture and discuss recent progress in the classification of finite simple groups in which the subgroups of odd index are pronormal.

UR - http://www.scopus.com/inward/record.url?scp=85089755414&partnerID=8YFLogxK

U2 - 10.1017/9781108692397.0016

DO - 10.1017/9781108692397.0016

M3 - Chapter

AN - SCOPUS:85089755414

SN - 9781108728744

SP - 406

EP - 418

BT - Groups St Andrews 2017 in Birmingham

PB - Cambridge University Press

ER -

ID: 36833488