Bounds on Orders of Finite Subgroups ofPGLn(K)

Eli Aljadeff; Jack Sonn

doi:10.1006/jabr.1998.7551

Bounds on Orders of Finite Subgroups ofPGL_n(K)

Eli Aljadeff^*, Jack Sonn

^*Corresponding author for this work

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

4 Scopus citations

Abstract

We characterize the pairs (K,n),Ka field,na positive integer, for which there is a bound on the orders of finite subgroups ofPGL_n(K). Explicit bounds are given in important cases. An application is made to the analogous problem for central simpleK-algebras of degreen.

Original language	English
Pages (from-to)	352-360
Number of pages	9
Journal	Journal of Algebra
Volume	210
Issue number	1
DOIs	https://doi.org/10.1006/jabr.1998.7551
State	Published - 1 Dec 1998
Externally published	Yes

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title = "Bounds on Orders of Finite Subgroups ofPGLn(K)",

abstract = "We characterize the pairs (K,n),Ka field,na positive integer, for which there is a bound on the orders of finite subgroups ofPGLn(K). Explicit bounds are given in important cases. An application is made to the analogous problem for central simpleK-algebras of degreen.",

author = "Eli Aljadeff and Jack Sonn",

note = "Funding Information: Research supported by the fund for the Promotion of Research at the Technion and by the Technion VPR Fund.",

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AB - We characterize the pairs (K,n),Ka field,na positive integer, for which there is a bound on the orders of finite subgroups ofPGLn(K). Explicit bounds are given in important cases. An application is made to the analogous problem for central simpleK-algebras of degreen.

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Bounds on Orders of Finite Subgroups ofPGL_n(K)

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