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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The hyperquasicenter of a finite group. I


Author: N. P. Mukherjee
Journal: Proc. Amer. Math. Soc. 26 (1970), 239-243
MSC: Primary 20.25
DOI: https://doi.org/10.1090/S0002-9939-1970-0268267-1
MathSciNet review: 0268267
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Abstract | References | Similar Articles | Additional Information

Abstract: The quasicenter is a generalisation of the idea of the center of a group and this has been used to define the hyperquasicenter. The concept that is essentially involved is that of quasinormality. The quasicenter has been shown to be nilpotent and the hyperquasicenter has been identified as the largest supersolvably immersed subgroup.


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Keywords: Quasicentral element (QC-element), quasicenter, hyperquasicenter
Article copyright: © Copyright 1970 American Mathematical Society