Exponential Genus Problems in One-relator Products of Groups

A.J. Duncan (Autor)

Buch | Softcover

156 Seiten

2007 | illustrated Edition
American Mathematical Society (Verlag)
978-0-8218-3945-4 (ISBN)

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Shows that for finite systems of quadratic exponential equations decidability passes, under certain hypotheses, from the factor groups to free products and one-relator products.

Exponential equations in free groups were studied initially by Lyndon and Schutzenberger and then by Comerford and Edmunds. Comerford and Edmunds showed that the problem of determining whether or not the class of quadratic exponential equations have solution is decidable, in finitely generated free groups. In this paper the author shows that for finite systems of quadratic exponential equations decidability passes, under certain hypotheses, from the factor groups to free products and one-relator products.

Introduction Quadratic words Quadratic exponential equations and ${/mathcal L}$-genus Resolutions of quadratic equations Decision problems Pictures Corridors Angle assignment Curvature Configurations $C$ Configurations $D$ Final angle adjustment Isoperimetry Proof of Theorem 5.9 Bibliography.

Erscheint lt. Verlag	1.3.2007
Reihe/Serie	Memoirs of the American Mathematical Society
Zusatzinfo	illustrations
Verlagsort	Providence
Sprache	englisch
Gewicht	306 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-8218-3945-4 / 0821839454
ISBN-13	978-0-8218-3945-4 / 9780821839454
Zustand	Neuware