CONJUGATION-FREE GEOMETRIC PRESENTATIONS OF FUNDAMENTAL GROUPS OF ARRANGEMENTS

CONJUGATION-FREE GEOMETRIC PRESENTATIONS OF FUNDAMENTAL GROUPS OF ARRANGEMENTS (810)

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by Meital Eliyahu , David Garber , Mina Teicher

BibTeX

@MISC{Eliyahu810conjugation-freegeometric,
    author = {Meital Eliyahu and David Garber and Mina Teicher},
    title = {CONJUGATION-FREE GEOMETRIC PRESENTATIONS OF FUNDAMENTAL GROUPS OF ARRANGEMENTS},
    year = {810}
}

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Abstract

Abstract. We introduce the notion of a conjugation-free geometric presentation for a fundamental group of line arrangements’ complements, and we show that the fundamental group of following family of arrangements have a conjugation-free geometric presentation: An arrangement L, whose graph of multiple points is a unique cycle of length n, and the multiplicities of the multiple points are arbitrary. We also compute the exact structure (by means of a semi-direct product of groups) of the arrangement which consists of a cycle of length 3, where all the multiple points are of multiplicity 3. 1.

Citations

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