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On Nonmodular Periodic Finitary Linear Groups

✍ Scribed by B.A.F. Wehrfritz

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
106 KB
Volume
223
Category
Article
ISSN
0021-8693

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✦ Synopsis

Very recently M. S. Lucido proved that for any prime p, a periodic finitary linear p X -group G of characteristic p is isomorphic to some finitary linear group G of 0 characteristic zero. Moreover G can be chosen to be irreducible whenever G is 0 irreducible. Here we offer an alternative proof, one that is somewhat shorter, more explicit and more elementary. We then generalize this result by proving that the same conclusion holds for periodic finitary skew linear p X -groups of characteristic p; that is, we replace fields by division rings in the hypotheses. This is less elementary.

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