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

Verfasser / Beitragende:
[V. Loginov]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 206/5(2015-05-01), 539-553
Format:
Artikel (online)
ID: 605524408
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100 1 |a Loginov  |D V.  |u Institute for Systems Analysis, Russian Academy of Sciences, pr. 60-letiya Oktyabrya 9, 117312, Moscow, Russia  |4 aut 
245 1 2 |a A Class of Finite Groups with Abelian Centralizer of an Element of Order 3 of Type (3, 2, 2)  |h [Elektronische Daten]  |c [V. Loginov] 
520 3 |a In this work, we study the structure of finite groups in which the centralizer of an element of order 3 is isomorphic to Z3 × Z2 × Z2. 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 not exist, and a detailed possible internal general structure of such groups is investigated. We use only those results that have been published before 1980. 
540 |a Springer Science+Business Media New York, 2015 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Loginov  |D V.  |u Institute for Systems Analysis, Russian Academy of Sciences, pr. 60-letiya Oktyabrya 9, 117312, Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 206/5(2015-05-01), 539-553  |x 1072-3374  |q 206:5<539  |1 2015  |2 206  |o 10958