This article is cited in 2 papers

$\mathscr H$-bijections of groups and $\mathscr H_R$-isomorphisms of group rings

D. N. Ivanov

Tver State University

Abstract: We introduce and investigate the notions indicated in the title. In particular, as an application, we prove the conjecture on the finiteness of the automorphism group of an orthogonal decomposition of an associative algebra, for all known examples of orthogonal decompositions.

UDC: 512

MSC: Primary 20C05, 20C07, 16S34; Secondary 20C15, 20K99, 20D30, 20D50, 20D60

Received: 21.11.1995

DOI: 10.4213/sm227

 English version: Sbornik: Mathematics, 1997, 188:6, 823–841

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