caa a22 4500 605524408 CHVBK 20210128100754.0 cr unu---uuuuu 210128e20150501xx s 000 0 eng 10.1007/s10958-015-2331-7 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2331-7 Loginov V. Institute for Systems Analysis, Russian Academy of Sciences, pr. 60-letiya Oktyabrya 9, 117312, Moscow, Russia aut A Class of Finite Groups with Abelian Centralizer of an Element of Order 3 of Type (3, 2, 2) [Elektronische Daten] [V. Loginov] 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. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 206/5(2015-05-01), 539-553 1072-3374 206:5<539 2015 206 10958 https://doi.org/10.1007/s10958-015-2331-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2331-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Loginov V. Institute for Systems Analysis, Russian Academy of Sciences, pr. 60-letiya Oktyabrya 9, 117312, Moscow, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 206/5(2015-05-01), 539-553 1072-3374 206:5<539 2015 206 10958