On finite groups with nine centralizers
Abstract
Given a finite group G, let Cent(G) denote the set of distinct centralizers of elements of G. The group G is called n-centralizer if |Cent(G)|=n and primitive n-centralizer if |Cent(G)|=|Cent(GZ(G))|=n. In this paper, we characterize the 9-centralizer and the primitive 9-centralizer groups.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.