Formal power series representations of free exponential groups

A. M. Gaglione; A. G. Myasnikov; V. N. Remeslennikov; D. Spellman

doi:10.1080/00927879708825880

Formal power series representations of free exponential groups

A. M. Gaglione
, A. G. Myasnikov
, V. N. Remeslennikov
, D. Spellman

Department of Mathematical Sciences

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

3 Scopus citations

Abstract

A classical result of Magnus asserts that a free group F has a faithful representation in the group of units of a ring of non-commuting formal power series with integral coefficients. We generalize this result to the category of A-groups, where A is an associative ring or an

Original language	English
Pages (from-to)	631-648
Number of pages	18
Journal	Communications in Algebra
Volume	25
Issue number	2
DOIs	https://doi.org/10.1080/00927879708825880
State	Published - 1997

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title = "Formal power series representations of free exponential groups",

abstract = "A classical result of Magnus asserts that a free group F has a faithful representation in the group of units of a ring of non-commuting formal power series with integral coefficients. We generalize this result to the category of A-groups, where A is an associative ring or an",

author = "Gaglione, \{A. M.\} and Myasnikov, \{A. G.\} and Remeslennikov, \{V. N.\} and D. Spellman",

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AU - Gaglione, A. M.

AU - Myasnikov, A. G.

AU - Remeslennikov, V. N.

AU - Spellman, D.

PY - 1997

Y1 - 1997

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AB - A classical result of Magnus asserts that a free group F has a faithful representation in the group of units of a ring of non-commuting formal power series with integral coefficients. We generalize this result to the category of A-groups, where A is an associative ring or an

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DO - 10.1080/00927879708825880

M3 - Article

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VL - 25

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EP - 648

JO - Communications in Algebra

JF - Communications in Algebra

IS - 2

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Formal power series representations of free exponential groups

Abstract

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