Identities of almost stable group representations
Sbornik. Mathematics, Tome 60 (1988) no. 2, pp. 569-581
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It is proved that almost stable group representations over a field have a finite basis of identities. Moreover, a variety generated by an arbitrary almost stable representation is Specht and all of its subvarieties have a finite uniformly bounded basis rank. In particular, the identities of an arbitrary representation of a finite group are finitely based.
Bibliography: 17 titles.
@article{SM_1988_60_2_a19,
author = {Vovsi S. M. and Nguyen Hung Son},
title = {Identities of almost stable group representations},
journal = {Sbornik. Mathematics},
pages = {569--581},
publisher = {mathdoc},
volume = {60},
number = {2},
year = {1988},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1988_60_2_a19/}
}
Vovsi S. M.; Nguyen Hung Son. Identities of almost stable group representations. Sbornik. Mathematics, Tome 60 (1988) no. 2, pp. 569-581. http://geodesic.mathdoc.fr/item/SM_1988_60_2_a19/