Document Zbl 0457.20046

Maximal subgroups of infinite index in finitely generated linear groups. (English) Zbl 0457.20046

J. Algebra 69, 1-23 (1981).

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MSC:

20G15	Linear algebraic groups over arbitrary fields
20E07	Subgroup theorems; subgroup growth
20E15	Chains and lattices of subgroups, subnormal subgroups
20F05	Generators, relations, and presentations of groups

Keywords:

solvable-by-finite group; maximal subgroups in a finitely generated linear group; maximal subgroups of infinite index

Citations:

Zbl 0448.20002; Zbl 0236.20032

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Full Text: DOI

References:

[1]	Borel, A., Linear Algebraic Groups (1969), Benjamin: Benjamin New York · Zbl 0186.33201
[2]	Borel, A.; Tits, J., Groupes réductifs, Inst. Hautes Études Sci. Publ. Math., 27, 55-150 (1965) · Zbl 0145.17402
[3]	Bourbaki, N., Groupes et algèbres de Lie (1968), Hermann: Hermann Paris · Zbl 0186.33001
[4]	Amer. Math. Soc. Transl. Ser. 2, 113 (1978), English transl.
[5]	Kargapolov, M. I.; Merzljakov, Ju. I., Foundations of Group Theory (1977), Nauka: Nauka Moscow · Zbl 0549.20001
[6]	Lang, S., Algebra (1965), Addison-Wesley: Addison-Wesley Reading, Mass · Zbl 0193.34701
[7]	Raghunathan, M. S., Discrete Subgroups of Lie Groups (1972), Springer-Verlag: Springer-Verlag Berlin/New York · Zbl 0254.22005
[8]	Roseblade, J. E., Group rings of polycyclic groups, J. Pure Appl. Algebra, 3, No. 1, 307-328 (1973) · Zbl 0285.20008
[9]	Steinberg, R., (Lectures on Chevalley Groups (1968), Yale University), Notes by J. Faulkner and Wilson · Zbl 1196.22001
[10]	Tits, J., Free subgroups in linear groups, J. Algebra, 20, No. 2, 250-270 (1974) · Zbl 0236.20032

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