Congruence Properties of Zariski-Dense Subgroups I

Christopher R. Matthews, L. N. Vaserstein, Boris Weisfeiler

Type: Article

Publication Date: 1984-05-01

Citations: 127

DOI: https://doi.org/10.1112/plms/s3-48.3.514

View Publication

Locations

Proceedings of the London Mathematical Society - View
Proceedings of the London Mathematical Society - View

Similar Works

Action	Title	Year	Authors
+	Congruence Properties of Partitions	1934	S. Chowla
+	Multiplicative Congruence Properties and Density Problems for <i>p(n)</i>	1968	A. O. L. Atkin
+	Computing Congruence Quotients of Zariski Dense Subgroups	2018	A. S. Detinko Dane Flannery Alexander Hulpke
+	Congruences for <i>r</i> <sup> <i>s</i> </sup> (<i>n</i> )	1983	Basil Gordon K. Hughes
+	Zariski density and computing with S-integral groups	2023	A. S. Detinko Dane Flannery Alexander Hulpke
+ PDF	On a Class of Groups defined by Congruences	1893	W. Burnside
+	Zariski density and computing with $S$-integral groups	2023	A. S. Detinko D. L. Flannery A. Hulpke
+	The Maximal Subgroups of <i>J</i> <sub>4</sub>	1988	Peter B. Kleidman Robert A. Wilson
+	Counting Congruence Subgroups in Arithmetic Subgroups	1994	M. P. F. Du Sautoy
+	Sylow <i>p</i> -Subgroups and Subnormal Subgroups of Finite Groups	1993	Robert M. Guralnick Peter B. Kleidman Richard Lyons
+	Dense Orbits of Affine Automorphisms and Compactness of Groups	1982	S. G. Dani
+ PDF	On a Class of Groups defined by Congruences. (Second Paper.)	1894	W. Burnside
+	Continuity of Mappings and Normality of Subgroups	1967	Alexandru Solian
+	Characteristic Subgroups of Some Relatively Free Groups	1968	Daniel E. Cohen
+ PDF	ON REDUCIBLE AND PRIMITIVE SUBSETS OF 𝔽<sub><i>P</i></sub>, II	2015	Katalin Gyarmati Andràs Sárközy
+	Congruence counting in Schottky and continued fractions semigroups of $\operatorname{SO}(n, 1)$	2021	Pratyush Sarkar
+	Congruence counting in Schottky and continued fractions semigroups of $\operatorname{SO}(n, 1)$	2021	Pratyush Sarkar
+	Sylow Structure and Basis Normalizers in a Class of Locally Finite Groups	1976	A. A. Klimowicz
+	Types of Elements and Characteristic Subgroups of Abelian Groups	1935	Reinhold Baer
+	Zariski density and computing in arithmetic groups	2016	A. S. Detinko Dane Flannery Alexander Hulpke

Works That Cite This (125)

Action	Title	Year	Authors
+	Markoff triples and strong approximation	2016	Jean Bourgain Alexander Gamburd Peter Sarnak
+	Shimura varieties, Galois representations and motives	2020	Gregorio Baldi
+ PDF Chat	The integral monodromy of hyperelliptic and trielliptic curves	2006	Jeffrey D. Achter Rachel Pries
+	Equidistribution and primes	2008	Peter Sarnak
+	Finitely generated groups of polynomial subgroup growth	1993	Alexander Lubotzky Avinoam Mann Dan Segal
+ PDF	From Apollonius to Zaremba: Local-global phenomena in thin orbits	2013	Alex Kontorovich
+	Matrix coefficients, Counting and Primes for orbits of geometrically finite groups	2012	Amir Mohammadi Hee Oh
+	Motives with exceptional Galois groups and the inverse Galois problem	2011	Zhiwei Yun
+	Generic Phenomena in Groups -- Some Answers and Many Questions	2012	Igor Rivin
+ PDF	On the potential automorphy of certain odd-dimensional Galois representations	2010	Thomas Barnet-Lamb

Works Cited by This (8)

Action	Title	Year	Authors
+	SIMPLE GROUPS OF LIE TYPE	1975	I. G. Macdonald
+	On Artin's conjecture.	1967	C. Hooley
+	EXPONENTIALS IN LIE ALGEBRAS OF CHARACTERISTIC<i>p</i>	1971	B J Veĭsfeĭler Victor G. Kač
+ PDF	Primitive points on elliptic curves	1977	Serge Lang H. F. Trotter
+	Starke Approximation in algebraischen Gruppen. I.	1965	Martin Kneser
+	Abelian l-Adic Representations and Elliptic Curves	1997	Jean-Pierre Serre
+	Finite Simple Groups	1982	Daniel Gorenstein
+ PDF	Seminar on Algebraic Groups and Related Finite Groups	1970	Armand Borel Rayna J. Carter C. W. Curtis Nagayoshi Iwahori T. A. Springer Richard H. Steinberg