Quasi-Endomorphisms in Small Stable Groups

Wagner, Frank O.

J. Symbolic Logic, Tome 58 (1993) no. 1, p. 1044-1051 / Harvested from Project Euclid

Résumé

We generalise various properties of quasiendomorphisms from groups with regular generic to small abelian groups. In particular, for a small abelian group such that no infinite definable quotient is connected-by-finite, the ring of quasi-endomorphisms is locally finite. Under some additional assumptions, it decomposes modulo some nil ideal into a sum of finitely many matrix rings.

Publié le : 1993-09-14
Classification:

@article{1183744312,
     author = {Wagner, Frank O.},
     title = {Quasi-Endomorphisms in Small Stable Groups},
     journal = {J. Symbolic Logic},
     volume = {58},
     number = {1},
     year = {1993},
     pages = { 1044-1051},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183744312}
}

Wagner, Frank O. Quasi-Endomorphisms in Small Stable Groups. J. Symbolic Logic, Tome 58 (1993) no. 1, pp.  1044-1051. http://gdmltest.u-ga.fr/item/1183744312/