# $MC$-hypercentral groups

@article{Russo2007MChypercentralG, title={\$MC\$-hypercentral groups}, author={Francesco G. Russo}, journal={The International Journal of Contemporary Mathematical Sciences}, year={2007}, volume={2}, pages={1441-1449} }

This paper is devoted to the imposition of some chain conditions on groups having a generalized central series. It is also given a characterization of MC-groups with finite abelian section rank: such class of groups is a suitable enlargement of the class of FC-groups. Mathematics Subject Classification: 20F24; 20F14

## 4 Citations

### On topological filtrations of groups

- MathematicsPeriod. Math. Hung.
- 2016

Some algebraic classes of groups are studied with respect to the (weak) geometric simple connectivity and the quasi-simple filtration, which are topological notions of manifolds which may be defined for discrete groups too.

### SOME OPEN QUESTIONS ON A RESULT OF B.H. NEUMANN

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- 2011

A subgroup K of a group G is called almost normal in G if it has finitely many conjugates in G. The influence of these subgroups is strong on the group structure. Indeed, B.H. Neumann proves in the…

### Generalized Minimal Non-FC-Groups

- Mathematics
- 2008

Minimal non-FC-groups have been largely investigated and their structure is well-known. Minimal non-CC-groups, a first generalization of minimal non-FC-groups, have been investigated more recently…

### Advances in Just-Non-X Groups and Minimal Non-X Groups

- Mathematics
- 2008

Let X be a class of groups. A group which does not belong to X but all of whose proper quotients belong to X is called Just-Non-X group. A group which does not belong to X but all of whose proper…

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