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Finite groups of 2-local 3-rank 1

✍ Scribed by A. A. Makhnev


Publisher
SP MAIK Nauka/Interperiodica
Year
1989
Tongue
English
Weight
938 KB
Volume
29
Category
Article
ISSN
0037-4466

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πŸ“œ SIMILAR VOLUMES


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✍ Martyn R. Dixon; Martin J. Evans; Howard Smith πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 178 KB

But P l B s rad P and so L ( Prrad P. It remains to show that P F L . 1 2 If Q is a maximal normal subgroup of P then, since P is perfect, PrQ is isomorphic to a simple direct factor of L and hence has order greater 1 than s. With the notation as in Lemma 2.2, we have PE rE ( PrP l E , 2 2 2 which t

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A group is said to have finite special rank F s if all of its finitely generated subgroups can be generated by s elements. Let G be a locally finite group and suppose that HrH has finite rank for all subgroups H of G, where H denotes the normal core of H in G. We prove that then G has an abelian no