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On two problems by L. A. Shemetkov

✍ Scribed by S. F. Kamornikov


Publisher
SP MAIK Nauka/Interperiodica
Year
1994
Tongue
English
Weight
829 KB
Volume
35
Category
Article
ISSN
0037-4466

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πŸ“œ SIMILAR VOLUMES


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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

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Theorem 1 says that the smallest cardink: A(A) such that for any compact Tz space x wit3 x(p, C h ior each p E X we have IX I < A(h), \:quals 2h if A is singular and 2b if A is regular. Theomm 2 says that for any compact T2 space wi;h the Suslin propelrty the space P% on the same underlying set and