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On a problem of L.A. Shemetkov on superradical formations of finite groups

✍ Scribed by Ballester-Bolinches, A.; Kamornikov, S.F.; Tyutyanov, V.N.


Book ID
122168943
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
218 KB
Volume
403
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES


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Throughout the paper we consider only finite groups. In [l] W. GASCHUTZ introduced the notion of formation which is useful and convenient for stu.dying not only groups but also other algebraic systems (see [2]). Recall that a class 3 of groups is called a formation if it is closed under taking homo

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Throughout the paper we consider only finite groups. Let α‘² be a class of groups. A group G is called s-critical for α‘², or simply α‘²-critical, if G is not in α‘² but all proper subgroups of G are in α‘². w Ε½ .x Ε½ . Following Doerk and Hawkes 3, VII, 6.1 , we denote Crit α‘² the class s of all α‘²-critical gr