A Class of Finite Groups with Abelian Centralizer of an Element of Order 3 of Type (3, 2, 2)

• Published in: Journal of mathematical sciences (New York, N.Y.) Vol. 206; no. 5; pp. 539 - 553
• Main Author: Loginov, V. I.
• Format: Journal Article
• Language: English
• Published: Boston Springer US 01.05.2015; Springer
• Subjects: Mathematics; Mathematics and Statistics; Simple Group; Frobenius Group; Nonabelian Simple Group; Abelian Group; Minimal Normal Subgroup

In this work, we study the structure of finite groups in which the centralizer of an element of order 3 is isomorphic to Z 3 × Z 2 × Z 2 . The analysis is restricted to the class of groups whose order is not divisible by the prime number 5. It is shown that among finite simple groups such groups do...