On minimal non CC-groups.

A. Osman Asar; A. Arikan

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Displaying similar documents to “On minimal non CC-groups.”

Groups with the Minimal Condition on Non-“Nilpotent-by-Finite” Subgroups

Artemovych, O. (2002)

Serdica Mathematical Journal

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We characterize the groups which do not have non-trivial perfect sections and such that any strictly descending chain of non-“nilpotent-by-finite” subgroups is finite.

On finite soluble groups verifying an extremal condition on subgroups.

Fernando Tuccillo (1991)

Collectanea Mathematica

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We classify the finite soluble groups satisfying the following condition: if H is a subgroup of G and H is not nilpotent, then the Fitting subgroup of H is the centralizer in H of its derived subgroup H'.

On complemented subgroups of finite groups

Long Miao (2006)

Czechoslovak Mathematical Journal

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A subgroup $H$ of a group $G$ is said to be complemented in $G$ if there exists a subgroup $K$ of $G$ such that $G = H K$ and $H \cap K = 1$ . In this paper we determine the structure of finite groups with some complemented primary subgroups, and obtain some new results about $p$ -nilpotent groups.