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Grossman [7] showed that certain cyclically pinched 1-relator
groups have residually finite outer automorphism groups. In this paper
we prove that tree products of finitely generated free groups amalgamating
maximal cyclic subgroups have residually finite outer automorphism
groups. We also prove that polygonal products of finitely generated central
subgroup separable groups amalgamating trivial intersecting central
subgroups have residually finite outer automorphism groups.
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참고문헌 (14)
참고문헌 신청
B. A. F. Wehrfritz / 1994 / Two remarks on polycyclic groups / Bulletin of the London Mathematical Society 26 (6) : 543 ~ 548
B. Fine / 1990 / Conjugacy separability of Fuchsian groups and related questions, Combinatorial group theory (College Park, MD, 1988) / Contemporary Mathematics 109 : 11 ~ 18
D. Wise / 2003 / A residually finite version of Rips’s construction / Bulletin of the London Mathematical Society 35 (1) : 23 ~ 29
E. K. Grossman / 1974 / On the residual finiteness of certain mapping class groups / Journal of the London Mathematical Society 9 : 160 ~ 164
G. Baumslag / 1963 / Automorphism groups of residually finite groups / Journal of the London Mathematical Society 38 : 117 ~ 118
B. Fine / 1990 / Conjugacy separability of Fuchsian groups and related questions, Combinatorial group theory (College Park, MD, 1988) / Contemporary Mathematics 109 : 11 ~ 18
D. Wise / 2003 / A residually finite version of Rips’s construction / Bulletin of the London Mathematical Society 35 (1) : 23 ~ 29
E. K. Grossman / 1974 / On the residual finiteness of certain mapping class groups / Journal of the London Mathematical Society 9 : 160 ~ 164
G. Baumslag / 1963 / Automorphism groups of residually finite groups / Journal of the London Mathematical Society 38 : 117 ~ 118
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