Roots, iterations and logarithms of formal automorphisms

Cornelis Praagman

doi:10.1007/BF01840500

Roots, iterations and logarithms of formal automorphisms

Cornelis Praagman

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

3 Citations (Scopus)

Abstract

In this paper it is proved that having a logarithm is equivalent to having roots of arbitrary order in the group of automorphisms of a formal power series ring, and in algebraic subgroups too.

Original language	English
Pages (from-to)	251-259
Number of pages	9
Journal	Aequationes mathematicae
Volume	33
DOIs	https://doi.org/10.1007/BF01840500
Publication status	Published - 1987
Externally published	Yes

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title = "Roots, iterations and logarithms of formal automorphisms",

abstract = "In this paper it is proved that having a logarithm is equivalent to having roots of arbitrary order in the group of automorphisms of a formal power series ring, and in algebraic subgroups too.",

author = "Cornelis Praagman",

year = "1987",

doi = "10.1007/BF01840500",

language = "English",

volume = "33",

pages = "251--259",

journal = "Aequationes mathematicae",

issn = "0001-9054",

}

TY - JOUR

T1 - Roots, iterations and logarithms of formal automorphisms

AU - Praagman, Cornelis

PY - 1987

Y1 - 1987

N2 - In this paper it is proved that having a logarithm is equivalent to having roots of arbitrary order in the group of automorphisms of a formal power series ring, and in algebraic subgroups too.

AB - In this paper it is proved that having a logarithm is equivalent to having roots of arbitrary order in the group of automorphisms of a formal power series ring, and in algebraic subgroups too.

U2 - 10.1007/BF01840500

DO - 10.1007/BF01840500

M3 - Article

SN - 0001-9054

VL - 33

SP - 251

EP - 259

JO - Aequationes mathematicae

JF - Aequationes mathematicae

ER -

Roots, iterations and logarithms of formal automorphisms

Abstract

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