Generators of central simple p-algebras of degree 3

Uzi Vishne

doi:10.1007/bf02773162

Generators of central simple p-algebras of degree 3

Uzi Vishne

Hebrew University of Jerusalem

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

3 Scopus citations

Abstract

We discuss standard pairs of generators of cyclic division p-algebras of degree p, and prove for p = 3 that any two Artin-Schreier elements are connected by a chain of standard pairs. This result has immediate applications to the presentations of such algebras.

Original language	English
Pages (from-to)	175-187
Number of pages	13
Journal	Israel Journal of Mathematics
Volume	129
DOIs	https://doi.org/10.1007/bf02773162
State	Published - 2002
Externally published	Yes

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title = "Generators of central simple p-algebras of degree 3",

abstract = "We discuss standard pairs of generators of cyclic division p-algebras of degree p, and prove for p = 3 that any two Artin-Schreier elements are connected by a chain of standard pairs. This result has immediate applications to the presentations of such algebras.",

author = "Uzi Vishne",

year = "2002",

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language = "אנגלית",

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pages = "175--187",

journal = "Israel Journal of Mathematics",

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AB - We discuss standard pairs of generators of cyclic division p-algebras of degree p, and prove for p = 3 that any two Artin-Schreier elements are connected by a chain of standard pairs. This result has immediate applications to the presentations of such algebras.

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SN - 0021-2172

VL - 129

SP - 175

EP - 187

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

ER -

Generators of central simple p-algebras of degree 3

Abstract

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