✦ LIBER ✦

Soluble Groups Which are Products of Groups of Finite Rank

✍ Scribed by Wilson, J. S.

Book ID: 120095912
Publisher: Oxford University Press
Year: 1989
Tongue: English
Weight: 332 KB
Volume: s2-40
Category: Article
ISSN: 0024-6107
DOI: 10.1112/jlms/s2-40.3.405

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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