Some remarks on conjugate closed groups

Ram Karan () and Shiv Narain ()
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Ram Karan: Kurukshetra University
Shiv Narain: Kurukshetra University

Indian Journal of Pure and Applied Mathematics, 2011, vol. 42, issue 4, 249-257

Abstract: Abstract Let G be a group. In this note we define conjugate closed groups, which are briefly called CC — Groups. These groups form a proper subclass of T — Groups. We prove that if G = Z(G) × H, then G is conjugate closed if and only if H is conjugate closed. We also show that a finite group G is semisimple, conjugate closed and perfect if and only if it is a direct product of non-abelian and simple groups.

Keywords: Conjugate closed subgroup; conjugate closed group; semisimple groups; T-groups and F.C. groups (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s13226-011-0017-5

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