@article{bwmeta1.element.bwnjournal-article-aav91i2p133bwm,
author = {Stefan K\"uhnlein},
title = {Some families of finite groups and their rings of invariants},
journal = {Acta Arithmetica},
volume = {89},
year = {1999},
pages = {133-146},
zbl = {0939.13003},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav91i2p133bwm}
}
Stefan Kühnlein. Some families of finite groups and their rings of invariants. Acta Arithmetica, Tome 89 (1999) pp. 133-146. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav91i2p133bwm/
[000] [1] A. Adem and R. J. Milgram, Cohomology of Finite Groups, Springer, Berlin, 1994. | Zbl 0820.20060
[001] [2] L. E. Dickson, A fundamental system of invariants of the general modular linear group with a solution of the form problem, Trans. Amer. Math. Soc. 12 (1911), 75-98. | Zbl 42.0136.01
[002] [3] L. E. Dickson, On invariants and the theory of numbers, The Madison Colloquium, 1913; repr. Dover, 1966.
[003] [4] J.; F. Grunewald and J. Mennicke, Groups Acting on Hyperbolic Space, Springer, Berlin, 1997. | Zbl 0888.11001
[004] [5] F. Grunewald and D. Segal, On congruence topologies in number fields, J. Reine Angew. Math. 311/312 (1979), 389-396. | Zbl 0409.12005
[005] [6] K. Haberland, Perioden für Modulformen einer Variablen und Gruppencohomologie I, II, III, Math. Nachr. 112 (1983), 245-315. | Zbl 0526.10024
[006] [7] E. Hecke, Über die Bestimmung Dirichletscher Reihen durch ihre Funktionalgleichung, Math. Ann. 112 (1936), 664-699; also in: Mathematische Werke, Göttingen, 1959, 591-626. | Zbl 0014.01601
[007] [8] M. Hochster and J. A. Eagon, Cohen-Macaulay rings, invariant theory, and the generic perfection of determinantal loci, Amer. J. Math. 93 (1971), 1020-1058. | Zbl 0244.13012
[008] [9] G. Kemper, Calculating invariant rings of finite groups over arbitrary fields, J. Symbolic Comput. 21 (1996), 351-366. | Zbl 0889.13004
[009] [10] S. Kühnlein, Kohomologie spezieller S-arithmetischer Gruppen und Modulformen, Bonner Math. Schriften 264 (1994).
[010] [11] S. Kühnlein, Torsion classes in cohomology and Galois representations, J. Number Theory 70 (1998), 184-190. | Zbl 0906.11022
[011] [12] S. Lang, Algebraic Number Theory, Springer, Berlin, 1993.
[012] [13] P. D. Lax and R. S. Phillips, Scattering Theory for Automorphic Functions, Ann. of Math. Stud. 87, Princeton Univ. Press, 1976. | Zbl 0362.10022
[013] [14] P. Moree and P. Stevenhagen, Prime divisors of Lucas sequences, Acta Arith. 82 (1997), 403-410. | Zbl 0913.11048
[014] [15] D. Rosen, An arithmetic characterization of the parabolic points of G(2cosπ/5), Glasgow Math. J. 6 (1963), 88-96. | Zbl 0161.27501
[015] [16] B. J. Schmid, Finite groups and invariant theory, in: Séminaire d'Algèbre, P. Dubriel et M. P. Malliavin (eds.), Lecture Notes in Math. 1478, Springer, 1991, 35-66. | Zbl 0770.20004
[016] [17] G. Shimura, Introduction to the Arithmetic Theory of Automorphic Functions, Princeton, 1994. | Zbl 0872.11023
[017] [18] L. Smith, Polynomial invariants of finite groups. A survey of recent developments, Bull. Amer. Math. Soc. 34 (1997), 211-250. | Zbl 0904.13004
[018] [19] T. Springer, Invariant Theory, Lecture Notes in Math. 585, Springer, Heidelberg, 1977.
[019] [20] R. P. Stanley, Invariants of finite groups and their applications to combinatorics, Bull. Amer. Math. Soc. (N.S.) 1 (1979), 475-511. | Zbl 0497.20002
[020] [21] L. C. Washington, Introduction to Cyclotomic Fields, Springer, New York, 1997. | Zbl 0966.11047
[021] [22] C. Wilkerson, A primer on Dickson invariants, Contemp. Math. 19 (1983), 421-434. | Zbl 0525.55013
[022] [23] D. Zagier, Zetafunktionen und quadratische Zahlkörper, Springer, Berlin, 1981.