c-Normality and coprime action in finite groups
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Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Title
c-Normality and coprime action in finite groupsDate
2023-10-31Publisher
Springer; Akadémiai KiadóISSN
0236-5294Bibliographic citation
Beltrán, A., Shao, C. c-Normality and coprime action in finite groups. Acta Math. Hungar. 171, 39–52 (2023). https://doi.org/10.1007/s10474-023-01376-wType
info:eu-repo/semantics/articlePublisher version
https://link.springer.com/article/10.1007/s10474-023-01376-wVersion
info:eu-repo/semantics/acceptedVersionSubject
Abstract
A subgroup H of a finite group G is called c-normal if there exists a normal subgroup N in G such that G = HN and , the largest normal subgroup of G contained in H. c-Normality is a weaker form of normality, introduced ... [+]
A subgroup H of a finite group G is called c-normal if there exists a normal subgroup N in G such that G = HN and , the largest normal subgroup of G contained in H. c-Normality is a weaker form of normality, introduced by Y.M. Wang, that has led to interesting results and structural criteria of finite groups. In this paper we study c-normality in the coprime action setting so as to obtain several solvability and p-nilpotency criteria in terms of certain subsets of maximal invariant subgroups of a group or of its Sylow subgroups. [-]
Is part of
Acta Mathematica Hungarica, 2023, vol. 171Funder Name
National Nature Science Fund of China | Generalitat Valenciana | Nature Science Fund of Shandong Province
Project code
12071181 | CIAICO/2021/193 | ZR2019MA044
Rights
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/embargoedAccess
info:eu-repo/semantics/embargoedAccess
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- MAT_Articles [763]