For a finite group G, let Cent(G) denote the set of centralizers of single elements of G. A group is called n-centralizer if vertical bar Cent(G)vertical bar = n. In this paper we characterize all 9-centralizer groups. Also, we prove that every 10-centralizer group has even order.
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机译：对于有限组G，令Cent（G）表示G的单个元素的扶正器集合。如果垂直线Cent（G）vertical bar = n，则该组称为n集中器。在本文中，我们描述了所有9个集中器组。此外，我们证明每个10位集中器组都有偶数阶。
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