1 8 A ug 2 00 9 On Bruck Loops of 2 - power Exponent ∗
نویسندگان
چکیده
We classify " nice " loop envelopes to Bruck loops of 2-power exponent under the assumption that every nonabelian simple section of G is either passive or isomorphic to PSL2(q), q − 1 ≥ 4 a 2-power. The hypothesis is verified in a separate paper. This paper is a continuation of the work by Aschbacher, Kinyon and Phillips on finite Bruck loops [AKP]. In [BS3] we will apply these results and get a neat description of the structure of the finite Bruck loops.
منابع مشابه
ar X iv : 0 90 8 . 27 37 v 1 [ m at h . G R ] 1 9 A ug 2 00 9 On Bruck Loops of 2 - power Exponent , II ∗
As anounced in [BSS], we show that the non-passive finite simple groups are among the PSL2(q) with q − 1 ≥ 4 a 2-power.
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