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Abstract
For a formation π, a subgroup U of a finite group G is said to be π-pronormal in G if for each g β G, there exists x β β¨U, Ugβ© π such that Ux = Ug. If π contains π, the formation of nilpotent groups, then every π-pronormal subgroup is pronormal and, in fact, π-pronormality is just classical pronormality. The main aim of this paper is to study classes of finite soluble groups in which pronormality and π-pronormality coincide.
Document Type
Article
Publication Date
12-9-2015
Digital Object Identifier (DOI)
https://doi.org/10.1515/jgth-2015-0035
Funding Information
The first author has been supported by the grant MTM2010-19938-C03-01 from MICINN (Spain) and Project of NSFC (11271085).
Repository Citation
Ballester-Bolinches, Adolfo; Beidleman, James C.; Feldman, Arnold D.; and Ragland, Matthew F., "Finite Groups in Which Pronomality and π-Pronormality Coincide" (2015). Mathematics Faculty Publications. 21.
https://uknowledge.uky.edu/math_facpub/21
Notes/Citation Information
Published in Journal of Group Theory, v. 19, issue 2, p. 323-329.
Β© de Gruyter 2016
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