대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제49권5호
  • /
  • Pages.949-959
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  • 2012
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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CLASS-PRESERVING AUTOMORPHISMS OF GENERALIZED FREE PRODUCTS AMALGAMATING A CYCLIC NORMAL SUBGROUP

  • Zhou, Wei (School of Mathematics and Statistics Southwest University) ;
  • Kim, Goan-Su (Department of Mathematics Yeungnam University)
  • 투고 : 2011.05.11
  • 발행 : 2012.09.30
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초록

In general, a class-preserving automorphism of generalized free products of nilpotent groups, amalgamating a cyclic normal subgroup of order 8, need not be an inner automorphism. We prove that every class-preserving automorphism of generalized free products of nitely generated nilpotent groups, amalgamating a cyclic normal subgroup of order less than 8, is inner.

키워드

과제정보

연구 과제 주관 기관 : Korea Research Foundation

참고문헌

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피인용 문헌

  1. CYCLIC SUBGROUP SEPARABILITY OF CERTAIN GRAPH PRODUCTS OF SUBGROUP SEPARABLE GROUPS vol.50, pp.5, 2013, https://doi.org/10.4134/BKMS.2013.50.5.1753
  2. Class-preserving automorphisms of certain HNN extensions vol.431, 2015, https://doi.org/10.1016/j.jalgebra.2015.02.012
  3. CLASS-PRESERVING AUTOMORPHISMS OF CERTAIN HNN EXTENSIONS OF BAUMSLAG-SOLITAR GROUPS vol.53, pp.4, 2016, https://doi.org/10.4134/BKMS.b150491