On the maximal overgroups of Sylow subgroups of finite groups

Baumeister B, Burness TC, Guralnick RM, Tong-Viet HP (2024)
Advances in Mathematics 444: 109632.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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DOI
Autor*in
Baumeister, BarbaraUniBi; Burness, Timothy C.; Guralnick, Robert M.; Tong-Viet, Hung P.
Einrichtung
Fakultät für Mathematik
Abstract / Bemerkung
In this paper, we determine the finite groups with a Sylow subgroup contained in a unique maximal subgroup. The proof involves a reduction to almost simple groups, and our main theorem extends earlier work of Aschbacher in the special case r = 2. Several applications are presented. This includes some new results on weakly subnormal subgroups of finite groups, which can be used to study variations of the Baer-Suzuki theorem. (c) 2024 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://
Stichworte
Finite groups; Sylow subgroups; Maximal overgroups; Almost simple groups
Erscheinungsjahr
2024
Zeitschriftentitel
Advances in Mathematics
Band
444
Art.-Nr.
109632
ISSN
0001-8708
eISSN
1090-2082
Page URI
https://pub.uni-bielefeld.de/record/2990412

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Baumeister B, Burness TC, Guralnick RM, Tong-Viet HP. On the maximal overgroups of Sylow subgroups of finite groups. Advances in Mathematics. 2024;444: 109632.
Baumeister, B., Burness, T. C., Guralnick, R. M., & Tong-Viet, H. P. (2024). On the maximal overgroups of Sylow subgroups of finite groups. Advances in Mathematics, 444, 109632. https://doi.org/10.1016/j.aim.2024.109632
Baumeister, Barbara, Burness, Timothy C., Guralnick, Robert M., and Tong-Viet, Hung P. 2024. “On the maximal overgroups of Sylow subgroups of finite groups”. Advances in Mathematics 444: 109632.
Baumeister, B., Burness, T. C., Guralnick, R. M., and Tong-Viet, H. P. (2024). On the maximal overgroups of Sylow subgroups of finite groups. Advances in Mathematics 444:109632.
Baumeister, B., et al., 2024. On the maximal overgroups of Sylow subgroups of finite groups. Advances in Mathematics, 444: 109632.
B. Baumeister, et al., “On the maximal overgroups of Sylow subgroups of finite groups”, Advances in Mathematics, vol. 444, 2024, : 109632.
Baumeister, B., Burness, T.C., Guralnick, R.M., Tong-Viet, H.P.: On the maximal overgroups of Sylow subgroups of finite groups. Advances in Mathematics. 444, : 109632 (2024).
Baumeister, Barbara, Burness, Timothy C., Guralnick, Robert M., and Tong-Viet, Hung P. “On the maximal overgroups of Sylow subgroups of finite groups”. Advances in Mathematics 444 (2024): 109632.
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