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Outer automorphism groups of certain polygonal products of group

김관수
대한수학회 (The Korean Mathematical Society)|2008.02|대한수학회보 (Bulletin of the KMS)|제45권 제1호|pp. 45-52

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참고문헌

키워드

conjugacy separablepolygonal products of groupsgeneralized free productsouter automorphism groupsresidu- ally finite
주제분류수학

초록

We show that certain polygonal products of any four groups, amalgamating central subgroups with trivial intersections, have Property E. Using this result, we derive that outer automorphism groups of polyg- onal products of four polycyclic-by-finite groups, amalgamating central subgroups with trivial intersections, are residually finite.

Abstract

We show that certain polygonal products of any four groups, amalgamating central subgroups with trivial intersections, have Property E. Using this result, we derive that outer automorphism groups of polyg- onal products of four polycyclic-by-finite groups, amalgamating central subgroups with trivial intersections, are residually finite.

참고문헌 (12)

  1. R. B. J. T. Allenby, "Polygonal products of polycyclic by finite groups", Bulletin of the Australian Mathematical Society, 54(3), pp.369~372 (1996)
  2. R. B. J. T. Allenby, "Residual finiteness of outer automorphism groups of certain pinched 1-relator groups", Journal of Algebra, 246(2), pp.849~858 (2001)
  3. R. B. J. T. Allenby, "Residual finiteness of outer automorphism groups of finitely generated non-triangle Fuchsian groups, Internat", International Journal of Algebra and Computation, 15(1), pp.59~72 (2005)
  4. R. B. J. T. Allenby, "On the residual finiteness of certain polygonal products", Canadian Mathematical Bulletin, 32(1), pp.11~17 (1989)
  5. E. K. Grossman, "On the residual finiteness of certain mapping class groups", Journal of the London Mathematical Society, 9, pp.160~164 (1974)
  6. A. Karrass, "The subgroups of polygonal products of groups"
  7. G. Kim, "On polygonal products of finitely generated abelian groups", Bulletin of the Australian Mathematical Society, 45(3), pp.453~462 (1992)
  8. G. Kim, "no.3", Canadian Mathematical Bulletin, 36(3), pp.296~302 (1993)
  9. G. Kim, "Conjugacy separability of certain polygonal products", Canadian Mathematical Bulletin, 39(3), pp.294~307 (1996)
  10. G. Kim, "On the residual finiteness of polygonal products of nilpotentgroups", Canadian Mathematical Bulletin, 35(3), pp.390~399 (1992)
  11. G. Kim, "Separability properties of certain polygonal products of groups", Journal of the Korean Mathematical Society, 39(3), pp.461~494 (2002)
  12. W. Magnus, "Combinatorial Group Theory, Pure and Applied Math" (1966), 1966

관련 논문AI추천

Outer automorphism groups of polygonal products of certain conjugacy separable groups김관수, Chi Yu Tang대한수학회 · 대한수학회지2008 · 제45권 제6호On the residual finiteness of certain polygonal products of free groups김관수대한수학회 · 대한수학회논문집2016 · 제31권 제3호Polygonal products of residually finite groupsKok Bin Wong, Peng Choon Wong대한수학회 · 대한수학회보2007 · 제44권 제1호Class-preserving automorphisms of certain HNN extensions of Baumslag-Solitar groupsGoansu Kim, Wei Zhou대한수학회 · 대한수학회보2016 · 제53권 제4호Residual P-Finiteness of Certain Generalized Free Products of Nilpotent Groups김관수, James McCarron, Youngmi Lee경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제3호On the residual finiteness of fundamental groups of graphs of certain groups김관수대한수학회 · 대한수학회지2004 · 제41권 제5호

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