GROUPS WHOSE NON-NORMAL SUBGROUPS HAVE FINITE CONJUGACY CLASSES

Leonid A. Kurdachenko; Alessio Russo; Giovanni Vincenzi; Javier Otal Cinca

doi:10.1353/mpr.2004.0017

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GROUPS WHOSE NON-NORMAL SUBGROUPS HAVE FINITE CONJUGACY CLASSES

Leonid A. Kurdachenko Alessio Russo Giovanni Vincenzi Javier Otal Cinca

Year: 2004 Journal: Mathematical Proceedings of the Royal Irish Academy Vol: 104A (2)Pages: 177-189 Publisher: Royal Irish Academy

DOI: 10.1353/mpr.2004.0017

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Abstract

We consider the class of all groups whose non-normal subgroups are FC-groups. In particular, it will be proved that if such a group is soluble-by-fmite, then it is a locally FC-group and its commutator subgroup is an FC-group. We consider also the case when such groups have Chernikov commutator subgroups.

Keywords:

Conjugacy class Mathematics Commutator Normal subgroup Commutator subgroup Group (periodic table) Class (philosophy) Pure mathematics Locally finite group Combinatorics Algebra over a field Abelian group Computer science Physics Artificial intelligence

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Finite Group Theory Research

Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics

Coding theory and cryptography

Physical Sciences → Computer Science → Artificial Intelligence

graph theory and CDMA systems

Physical Sciences → Engineering → Electrical and Electronic Engineering

GROUPS WHOSE NON-NORMAL SUBGROUPS HAVE FINITE CONJUGACY CLASSES

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