SOME NEW INDICES IN A GROUP AND SOME RELATIONS BETWEEN THESE INDICES AND THE SET OF ITS CENTRALIZERS

Authors
Khodadad Khoramshahi
Mohammad Zarrin
University of Kurdistan
Abstract
A group is said to be a minimal simple group if it is a simple non-abelian group and every proper subgroup of it is solvable. For any group G denotes Cent(G) , the set of all centralizers of G .Group G is called Cn-group if |Cent(G)|=n . In this paper, we will define new indices in groups and will find a relation between these indices and Cent(G) in minimal simple groups.
Keywords
centralizer
Cn-group
minimal simple group
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