Geodesic
A Jordan-Hölder Theorem for Finitary Groups
Canadian mathematical bulletin, Tome 38 (1995) no. 2, pp. 250-251

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DOI

Let V be any left vector space over any division ring D and let G be any group of finitary linear maps of V. Then the D — G bimodule V satisfies a Jordan- Hölder theorem. Specifically, there is a bijection between the G-nontrivial factors in two composition series of V such that corresponding factors are isomorphic as D — G bimodules. This cannot be extended to cover the G-trivial factors.
DOI : 10.4153/CMB-1995-036-0
Mots-clés : 20H99, 16K99, group, finitary, composition series 
Wehrfritz, B. A. F. A Jordan-Hölder Theorem for Finitary Groups. Canadian mathematical bulletin, Tome 38 (1995) no. 2, pp. 250-251. doi: 10.4153/CMB-1995-036-0
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