On a problem of L.A. Shemetkov on superradical formations of finite groups
β 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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π SIMILAR VOLUMES
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
Throughout the paper we consider only finite groups. Let α² be a class of groups. A group G is called s-critical for α², or simply α²-critical, if G is not in α² but all proper subgroups of G are in α². w Ε½ .x Ε½ . Following Doerk and Hawkes 3, VII, 6.1 , we denote Crit α² the class s of all α²-critical gr