Geodesic
$\mathscr H$-bijections of groups and $\mathscr H_R$-isomorphisms of group rings
Sbornik. Mathematics, Tome 188 (1997) no. 6, pp. 823-841 
D. N. Ivanov. $\mathscr H$-bijections of groups and $\mathscr H_R$-isomorphisms of group rings. Sbornik. Mathematics, Tome 188 (1997) no. 6, pp. 823-841. http://geodesic.mathdoc.fr/item/SM_1997_188_6_a1/
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     title = {$\mathscr H$-bijections of groups and $\mathscr H_R$-isomorphisms of group rings},
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     volume = {188},
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     url = {http://geodesic.mathdoc.fr/item/SM_1997_188_6_a1/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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