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GROUPS WHOSE PROPER SUBGROUPS HAVE RESTRICTED INFINITE CONJUGACY CLASSES
Date
2017-01-01
Author
De Falco, Maria
De Giovanni, Francesco
Kuzucuoğlu, Mahmut
Musella, Carmela
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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A group G is said to have the AFC-property if for each element x of G at least one of the indices vertical bar G : C-G (x)vertical bar and vertical bar C-G (x) : x vertical bar is finite. The class of AFC-groups, which generalize FC-groups, has been studied by De Falco et al. (2017) and Shalev (1994). Here the structure of groups whose proper subgroups have the AFC-property is investigated.
Subject Keywords
AFC-group
,
Minimal non-AFC group
,
FC-centre
URI
https://hdl.handle.net/11511/39758
Journal
COLLOQUIUM MATHEMATICUM
DOI
https://doi.org/10.4064/cm7015-1-2017
Collections
Department of Mathematics, Article
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M. De Falco, F. De Giovanni, M. Kuzucuoğlu, and C. Musella, “GROUPS WHOSE PROPER SUBGROUPS HAVE RESTRICTED INFINITE CONJUGACY CLASSES,”
COLLOQUIUM MATHEMATICUM
, pp. 281–291, 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39758.