On the primitive irreducible representations of finitely generated linear groups of finite rank
Keyword(s):
In the paper, we study finitely generated linear groups of finite rank which have faithful irreducible primitive representations over a field of characteristic zero. We prove that if an infinite finitely generated linear group [Formula: see text] of finite rank has a faithful irreducible primitive representation over a field of characteristic zero then the [Formula: see text]-center [Formula: see text] of [Formula: see text] is infinite.
2021 ◽
pp. 24-27
1982 ◽
Vol 25
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pp. 237-243
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1958 ◽
Vol 1
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pp. 21-23
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1970 ◽
Vol 22
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pp. 436-448
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1969 ◽
Vol 21
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pp. 1025-1041
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1979 ◽
Vol 28
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pp. 401-412
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1982 ◽
Vol 91
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pp. 397-406
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