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On Almost-Dense Extension Groups of Torsion-Free Groups

✍ Scribed by Takashi Okuyama

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 290 KB
Volume: 202
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7271

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✦ Synopsis

Let A be a torsion-free group. A mixed group G is said to be an almost dense Ž .

Ž . extension group ADE group of

In the case that A is of rank 1 and G is cyclic for every prime p, we establish the p structure theorem, the representation theorem, the realization theorem, and the classification theorem. Moreover, for such an ADE group G, we give a necessary and sufficient condition that G is splitting and establish a characterization that all Ž . T G -high subgroups of G are isomorphic.

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