Abstract. Linear groups over many finitely generated Z-algebras are realized äs groups of ftmctions over varieties. We show that this construction produces a large number of explicit K ( , l)'s which are infinite dimensional double coset spaces. 1991 Mathematics Subject Classification: 55R35, 20G30, 58B05, 58B25. Introduction The class of linear groups = G (A) over finitely generated Z-algebras A includes the arithmetic groups äs well äs many which are less tractable, e.g. many groups of infinite virtual cohomological dimension. This paper shows that many linear groups = G (A) act äs covering transformations or branched covering transformations on coset spaces of groups of maps, generalizing constructions familiär for arithmetic groups. These classifying spaces may also be viewed äs quotients of spaces of maps into finite-dimensional Symmetrie spaces, and this description gives our spaces attractive geometric properties, such äs curvatures which are computable for certain mapping functors by the methods of the appendix to [FG]. The groups of maps considered here may be viewed äs the Ä-points of a linear algebraic group, where R is a subring of the coordinate ring of an affine variety, and this paper offers a characterization of a good class of rings R
Forum Mathematicum – de Gruyter
Published: Jan 1, 1993
It’s your single place to instantly
discover and read the research
that matters to you.
Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.
All for just $49/month
Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly
Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.
Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.
Read from thousands of the leading scholarly journals from SpringerNature, Wiley-Blackwell, Oxford University Press and more.
All the latest content is available, no embargo periods.
“Hi guys, I cannot tell you how much I love this resource. Incredible. I really believe you've hit the nail on the head with this site in regards to solving the research-purchase issue.”Daniel C.
“Whoa! It’s like Spotify but for academic articles.”@Phil_Robichaud
“I must say, @deepdyve is a fabulous solution to the independent researcher's problem of #access to #information.”@deepthiw
“My last article couldn't be possible without the platform @deepdyve that makes journal papers cheaper.”@JoseServera