Algebraic properties of decorated splitting obstruction groups

Cavicchioli, A. ; Muranov, Y. V. ; Repovš, D.

Bollettino dell'Unione Matematica Italiana, Tome 4-A (2001), p. 647-675 / Harvested from Biblioteca Digitale Italiana di Matematica

Résumé

In questo articolo si riassumono le definizioni e le principali proprietà dei gruppi di ostruzione con decorazione di tipo LS e LP. Si stabiliscono nuove relazioni fra questi gruppi e si descrivono le proprietà delle mappe naturali fra differenti gruppi con decorazione. Si costruiscono varie successioni spettrali, contenenti questi gruppi con decorazione, e si studiano la loro connessione con le successioni spettrali in $K$-teoria per certe estensioni quadratiche di antistrutture. Infine, si introduce il concetto di diagramma geometrico di gruppi e si calcolano esplicitamente i gruppi di ostruzione per un diagramma formato da 2-gruppi finiti.

Détail

Publié le : 2001-10-01

MR 1859427 | Zbl 1177.57027

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