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FINITE EXTENSIONS OF WEIGHTED WORD L-DELTA GROUPS

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초록

The purpose of this paper is to investigate the ¯nite extension of weighted word L-delta groups. The paper revealed that a ¯nite extension of a weighted word L-delta group is a weighted word L-delta group, and an abelian group, in addition, is a weighted word L-delta group and simultaneously a word L-delta group.

Abstract

The purpose of this paper is to investigate the ¯nite extension of weighted word L-delta groups. The paper revealed that a ¯nite extension of a weighted word L-delta group is a weighted word L-delta group, and an abelian group, in addition, is a weighted word L-delta group and simultaneously a word L-delta group.

참고문헌 (7)

  1. M. Bridson, "Metric Spaces of Non-Positive Curvature" (1999), Springer-Verlag
  2. Jon Corson, "Direct Products of Lδ-Groups", 순수 및 응용수학, 13(4), pp.269~280 (2006), 한국수학교육학회
  3. "Isoperimetric functions of groups acting on L-delta spaces", Glasgow Mathe-matical Journal, 44(1), pp.1~6 (2007)
  4. M. Elder, "L-delta groups are almost convex and have a sub-cubic Dehn function", Alge-braic and Geometric Topology, 4, pp.23~29 (2004)
  5. M. Gromov, "Essays in Group Theory", pp.75~263 (1987), Springer-Verag
  6. P. de la Harpe, "Topics in Geometric Group Theory" (2000), The University of Chicago Press
  7. M. Neumann, "A short course in geometric group theory", Notes for the Auatralia National University Workshop (1996)

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