Generating the mapping class group (an algebraic approach).

James McCool

Publicacions Matemàtiques (1996)

  • Volume: 40, Issue: 2, page 457-468
  • ISSN: 0214-1493

Abstract

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We give an algebraic proof of the fact that a generating set of the mapping class group Mg,1 (g ≥ 3) may be obtained by replicating a generating set of M2,1.

How to cite

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McCool, James. "Generating the mapping class group (an algebraic approach).." Publicacions Matemàtiques 40.2 (1996): 457-468. <http://eudml.org/doc/41263>.

@article{McCool1996,
abstract = {We give an algebraic proof of the fact that a generating set of the mapping class group Mg,1 (g ≥ 3) may be obtained by replicating a generating set of M2,1.},
author = {McCool, James},
journal = {Publicacions Matemàtiques},
keywords = {Cuerpos de clases; Algebra de grupo; Algebra homotópica; Clases de homotopía; Automorfismos; Análisis combinatorio; Descomposición aditiva; Grupos cíclicos; mapping class groups; automorphism groups of free groups; finite generating systems},
language = {eng},
number = {2},
pages = {457-468},
title = {Generating the mapping class group (an algebraic approach).},
url = {http://eudml.org/doc/41263},
volume = {40},
year = {1996},
}

TY - JOUR
AU - McCool, James
TI - Generating the mapping class group (an algebraic approach).
JO - Publicacions Matemàtiques
PY - 1996
VL - 40
IS - 2
SP - 457
EP - 468
AB - We give an algebraic proof of the fact that a generating set of the mapping class group Mg,1 (g ≥ 3) may be obtained by replicating a generating set of M2,1.
LA - eng
KW - Cuerpos de clases; Algebra de grupo; Algebra homotópica; Clases de homotopía; Automorfismos; Análisis combinatorio; Descomposición aditiva; Grupos cíclicos; mapping class groups; automorphism groups of free groups; finite generating systems
UR - http://eudml.org/doc/41263
ER -

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