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OUTER AUTOMORPHISM GROUPS OF CERTAIN TREE PRODUCTS OF ABELIAN GROUPS
Part of
- Low-dimensional topology
- Structure and classification of infinite or finite groups
Y. D. CHAI, YOUNGGI CHOI, GOANSU KIM, C. Y. TANG
Journal:

Bulletin of the Australian Mathematical Society / Volume 77 / Issue 1 / February 2008

Published online by Cambridge University Press:

01 February 2008, pp. 9-20

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February 2008
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We prove that certain tree products of finitely generated Abelian groups have Property E. Using this fact, we show that the outer automorphism groups of those tree products of Abelian groups and Brauner’s groups are residually finite.

Conjugacy Separability of Certain Polygonal Products
Goansu Kim
Journal:

Canadian Mathematical Bulletin / Volume 39 / Issue 3 / 01 September 1996

Published online by Cambridge University Press:

20 November 2018, pp. 294-307

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01 September 1996
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We show that polygonal products of polycyclic-by-finite groups amalgamating central cyclic subgroups, with trivial intersections, are conjugacy separable. Thus polygonal products of finitely generated abelian groups amalgamating cyclic subgroups, with trivial intersections, are conjugacy separable. As a corollary of this, we obtain that the group A1 *〈a1〉A2 *〈a2〉 • • • *〈am-1〉Am is conjugacy separable for the abelian groups Ai.

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2 results

OUTER AUTOMORPHISM GROUPS OF CERTAIN TREE PRODUCTS OF ABELIAN GROUPS

Conjugacy Separability of Certain Polygonal Products