ON THE RESIDUAL FINITENESS OF CERTAIN POLYGONAL PRODUCTS OF FREE GROUPS
نویسندگان
چکیده
منابع مشابه
Residual P-Finiteness of Certain Generalized Free Products of Nilpotent Groups
We show that free products of finitely generated and residually p-finite nilpotent groups, amalgamating p-closed central subgroups are residually p-finite. As a consequence, we are able to show that generalized free products of residually p-finite abelian groups are residually p-finite if the amalgamated subgroup is closed in the pro-p topology on each of the factors.
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Let G D ha; b; : : : j r D 1i be a one-relator group equipped with at least two generators. For all w which do not commute with r in the ambient free group on the generators a, b, ..., the groups G.r;w/ D ha; b; : : : j rrw D r2i are not residually finite and have the same finite images as G. The existence of this family of one-relator groups which are not residually finite reinforces what is b...
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ژورنال
عنوان ژورنال: Communications of the Korean Mathematical Society
سال: 2016
ISSN: 1225-1763
DOI: 10.4134/ckms.c150196