Conjugacy separability of a class of $1$-relator products
نویسندگان
چکیده
منابع مشابه
Conjugacy Separability of a Class of 1-relator Products
We prove the conjugacy separability of groups of the form G = (ax,...ar,bx,...,bs:aeli = bf> = (U(ax, ... , ar)V{bx , ... , bs))m = 1), where m > 1 .
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Conjugacy separability of any group of the class of one-relator groups given by the presentation a, b; a m , b n 1m, n > 1 is proven. The proof made used of theoretical combinatorial group methods, namely the structure of amalgamated free products and some properties of the subgroups and quotients of any group of the class of one-relator groups given above.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1992
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1992-1116250-0