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Subgroups of the elementary and Steinberg groups of congruence level I2

โœ Scribed by Susan C. Geller; Charles A. Weibel


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
549 KB
Volume
35
Category
Article
ISSN
0022-4049

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๐Ÿ“œ SIMILAR VOLUMES


Principal Congruence Subgroups of the He
โœ Mong-Lung Lang; Chong-Hai Lim; Ser-Peow Tan ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 126 KB

Let q be an odd integer >3 and let G q be the Hecke group associated to q. Let ({) be a prime ideal of Z[\* q ] and G(q, {) the principal congruence subgroup of G q associated to {. We give a formula for [G q : G(q, {)], the index of the principal congruence subgroup G(q, {) in G q . We also give fo

Fake Congruence Modular Curves and Subgr
โœ Gabriel Berger ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 164 KB

We construct a special class of noncongruence modular subgroups and curves, analogous in some ways to the usual congruence ones. The subgroups are obtained via the Burau representation, and the associated quotient curves have a natural moduli space interpretation. In fact, they are reduced Hurwitz s

Normalizers of the Congruence Subgroups
โœ Mong-Lung Lang ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 137 KB

Normalizers of 1 0 (m)+w 2 and 1 0 (m)+w 3 in PSL 2 (R) are determined. The determination of such normalizers enables us to determine the normalizers (in PSL 2 (R)) of the congruence subgroups G 0 4 (A) and G 0 6 (A) of the Hecke groups G 4 and G 6 .

Steinberg Groups and Simplicity of Eleme
โœ Ottmar Loos ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 318 KB

From 1 and the structure of แ’„ it is clear that Dแ’„ is stable under G, and that G acts trivially on แ’„rDแ’„. Thus y g g Dแ’„ 4 ลฝ . for all g g G.