Products of conjugacy classes of two by two matrices

L. Vaserstein; E. Wheland

doi:10.1016/0024-3795(94)00005-X

Products of conjugacy classes of two by two matrices

L. Vaserstein, E. Wheland

Mathematics

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

7 Scopus citations

Abstract

We compute the covering number and the extended covering number for the group PSL₂(F) with a field F. Similar numbers are defined for any group, and they are computed for the groups GL₂(F), PGL₂(F), and SL₂(F).

Original language	English (US)
Pages (from-to)	165-188
Number of pages	24
Journal	Linear Algebra and Its Applications
Volume	230
DOIs	https://doi.org/10.1016/0024-3795(94)00005-X
State	Published - 1995

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/0024-3795(94)00005-X

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@article{c199bc9e665849b6bf84e8b149483c2b,

title = "Products of conjugacy classes of two by two matrices",

abstract = "We compute the covering number and the extended covering number for the group PSL2(F) with a field F. Similar numbers are defined for any group, and they are computed for the groups GL2(F), PGL2(F), and SL2(F).",

author = "L. Vaserstein and E. Wheland",

note = "Funding Information: * This research was supported in part by the NSF.",

year = "1995",

doi = "10.1016/0024-3795(94)00005-X",

language = "English (US)",

volume = "230",

pages = "165--188",

journal = "Linear Algebra and Its Applications",

issn = "0024-3795",

publisher = "Elsevier Inc.",

}

TY - JOUR

T1 - Products of conjugacy classes of two by two matrices

AU - Vaserstein, L.

AU - Wheland, E.

N1 - Funding Information: * This research was supported in part by the NSF.

PY - 1995

Y1 - 1995

N2 - We compute the covering number and the extended covering number for the group PSL2(F) with a field F. Similar numbers are defined for any group, and they are computed for the groups GL2(F), PGL2(F), and SL2(F).

AB - We compute the covering number and the extended covering number for the group PSL2(F) with a field F. Similar numbers are defined for any group, and they are computed for the groups GL2(F), PGL2(F), and SL2(F).

UR - http://www.scopus.com/inward/record.url?scp=21844526120&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21844526120&partnerID=8YFLogxK

U2 - 10.1016/0024-3795(94)00005-X

DO - 10.1016/0024-3795(94)00005-X

M3 - Article

AN - SCOPUS:21844526120

SN - 0024-3795

VL - 230

SP - 165

EP - 188

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

Products of conjugacy classes of two by two matrices

Abstract

All Science Journal Classification (ASJC) codes

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