본문 바로가기
KERD
논문KCI 등재

On the residual finiteness of certain polygonal products of free groups

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In general, polygonal products of free groups are not residually finite. Using the residual finiteness of polygonal products of nilpotent groups, we show that certain polygonal products of free groups are residually finite.

Abstract

In general, polygonal products of free groups are not residually finite. Using the residual finiteness of polygonal products of nilpotent groups, we show that certain polygonal products of free groups are residually finite.

참고문헌 (13)

  1. R. B. J. T. Allenby, "The residual finiteness of polygonal products – Two counterexamples", Canad. Math. Bull, 37(4), pp.433~436 (1994)
  2. R. B. J. T. Allenby, "Allenby, Polygonal products of polycyclic by finite groups", Bull. Austral. Math. Soc, 54(3), pp.369~372 (1996)
  3. R. B. J. T. Allenby, "On the residual finiteness of certain polygonal products", Canad. Math. Bull, 32(1), pp.11~17 (1989)
  4. A. Karrass, "The subgroups of polygonal products of groups", ~
  5. G. Kim, "On polygonal products of finitely generated abelian groups", Bull. Austral. Math. Soc, 45(3), pp.453~462 (1992)
  6. G. Kim, "Cyclic subgroup separability of generalized free products", Canad. Math. Bull, 36(3), pp.296~302 (1993)
  7. G. Kim, "Conjugacy separability of certain polygonal products", Canad. Math. Bull, 39(3), pp.294~307 (1996)
  8. G. Kim, "On the residual finiteness of polygonal products of nilpotent groups", Canad. Math. Bull, 35(3), pp.390~399 (1992)
  9. W. Magnus, "Beziehungen zwischen Gruppen und Idealen in einem speziellen ring", Math. Ann, 111, pp.259~280 (1935)
  10. W. Magnus, "Residually finite groups", Bull. Amer. Math. Soc, 75, pp.305~316 (1969)
  11. A. W. Mostowski, "On the decidability of some problems in special classes of groups", Fund. Math, 59, pp.123~135 (1966)
  12. D. J. S. Robinson, "A course in the theory of groups, G. T. M. 80" (1982), Springer-Verlag
  13. J. S. Rose, "A Course on Group Theory" (1994), Dover Publ

관련 논문AI추천

이 간행물의 다른 논문 (20건)