Commutators in linear groups

R. K. Dennis; L. N. Vaserstein

doi:10.1007/BF00538432

Commutators in linear groups

R. K. Dennis
, L. N. Vaserstein

Mathematics

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

19 Scopus citations

Abstract

Conditions are established on a group G which guarantee that the number of commutators required to express an arbitrary element of the commutator subgroup [G, G] of G is less than a fixed natural number N. Applications, when N=2, are made to 'infinite-dimensional' automorphism groups, including infinite-dimensional linear groups.

Original language	English (US)
Pages (from-to)	761-767
Number of pages	7
Journal	K-Theory
Volume	2
Issue number	6
DOIs	https://doi.org/10.1007/BF00538432
State	Published - Nov 1989

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/BF00538432

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title = "Commutators in linear groups",

abstract = "Conditions are established on a group G which guarantee that the number of commutators required to express an arbitrary element of the commutator subgroup [G, G] of G is less than a fixed natural number N. Applications, when N=2, are made to 'infinite-dimensional' automorphism groups, including infinite-dimensional linear groups.",

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AB - Conditions are established on a group G which guarantee that the number of commutators required to express an arbitrary element of the commutator subgroup [G, G] of G is less than a fixed natural number N. Applications, when N=2, are made to 'infinite-dimensional' automorphism groups, including infinite-dimensional linear groups.

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Commutators in linear groups

Abstract

All Science Journal Classification (ASJC) codes

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