Krull Dimension and Deviation in Certain Parafree Groups
نویسندگان
چکیده
منابع مشابه
Krull Dimension and Deviation in Certain Parafree Groups
Hanna Neumann asked whether it was possible for two non-isomorphic residually nilpotent finitely generated (fg) groups, one of them free, to share the lower central sequence. G. Baumslag answered the question in the affirmative and thus gave rise to parafree groups. A group G is termed parafree of rank n if it is residually nilpotent and shares the same lower central sequence with a free group ...
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Given a finitely generated (fg) group G, the set R(G) of homomorphisms from G to SL 2 C inherits the structure of an algebraic variety known as the representation variety of G in SL 2 C. This algebraic variety is an invariant of fg presentations of G. Call a group G parafree of rank n if it shares the lower central sequence with a free group of rank n, and if it is residually nilpotent. The dev...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2010
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927871003716366