On the groups SL2(ℤ[x]) and SL2(k[x, y])

Fritz Grunewald; Jens Mennicke; Leonid Vaserstein

doi:10.1007/BF02773676

On the groups SL₂(ℤ[x]) and SL₂(k[x, y])

Fritz Grunewald
, Jens Mennicke
, Leonid Vaserstein

Mathematics

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

This paper studies free quotients of the groups SL₂(ℤ[x]) and SL₂(k[x, y]), k a finite field. These quotients give information about the relation of the above groups to their subgroups generated by elementary or unipotent elements.

Original language	English (US)
Pages (from-to)	157-193
Number of pages	37
Journal	Israel Journal of Mathematics
Volume	86
Issue number	1-3
DOIs	https://doi.org/10.1007/BF02773676
State	Published - Oct 1994

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/BF02773676

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title = "On the groups SL2(ℤ[x]) and SL2(k[x, y])",

abstract = "This paper studies free quotients of the groups SL2(ℤ[x]) and SL2(k[x, y]), k a finite field. These quotients give information about the relation of the above groups to their subgroups generated by elementary or unipotent elements.",

author = "Fritz Grunewald and Jens Mennicke and Leonid Vaserstein",

year = "1994",

month = oct,

doi = "10.1007/BF02773676",

language = "English (US)",

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journal = "Israel Journal of Mathematics",

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T1 - On the groups SL2(ℤ[x]) and SL2(k[x, y])

AU - Grunewald, Fritz

AU - Mennicke, Jens

AU - Vaserstein, Leonid

PY - 1994/10

Y1 - 1994/10

N2 - This paper studies free quotients of the groups SL2(ℤ[x]) and SL2(k[x, y]), k a finite field. These quotients give information about the relation of the above groups to their subgroups generated by elementary or unipotent elements.

AB - This paper studies free quotients of the groups SL2(ℤ[x]) and SL2(k[x, y]), k a finite field. These quotients give information about the relation of the above groups to their subgroups generated by elementary or unipotent elements.

UR - https://www.scopus.com/pages/publications/51249168102

UR - https://www.scopus.com/pages/publications/51249168102#tab=citedBy

U2 - 10.1007/BF02773676

DO - 10.1007/BF02773676

M3 - Article

AN - SCOPUS:51249168102

SN - 0021-2172

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SP - 157

EP - 193

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 1-3

ER -

On the groups SL₂(ℤ[x]) and SL₂(k[x, y])

Abstract

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