Examples of Nonpronormal Relatively Maximal Subgroups of Finite Simple Groups
Using R. Wilson’s recent results, we prove the existence of triples X G H such that X is a complete (i.e., closed under taking subgroups, homomorphic images, and extensions) class of finite groups, G is a finite simple group, and H is its X -maximal subgroup nonpronormal in G . This disproves a con...
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Published in: | Proceedings of the Steklov Institute of Mathematics 2023-12, Vol.323 (Suppl 1), p.S155-S159 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites |
Online Access: | Get full text |
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Summary: | Using R. Wilson’s recent results, we prove the existence of triples
X
G
H
such that
X
is a complete (i.e., closed under taking subgroups, homomorphic images, and extensions) class of finite groups,
G
is a finite simple group, and
H
is its
X
-maximal subgroup nonpronormal in
G
. This disproves a conjecture stated earlier by the second author and W. Guo. |
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ISSN: | 0081-5438 1531-8605 |
DOI: | 10.1134/S0081543823060135 |