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4.37 (1973)

Solved

Is there an infinite locally finite simple group $G$ that cannot be represented by matrices over a field and is such that for some prime $p$ the $p$-subgroups of $G$ are either of bounded derived length or of finite exponent?

Contributor: O. H. Kegel

Progress

No (mod CFSG) by Theorem 4.8 of (O. H. Kegel, B. A. F. Wehrfritz, Locally finite groups, North Holland, Amsterdam, 1973).

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