Stable classical groups and strongly torsion generated groups
نویسندگان
چکیده
منابع مشابه
Strongly torsion generated groups
It has long been known that the integral homology of a non-trivial finite group must be non-zero in infinitely many dimensions [15]. Recent work on the Sullivan Conjecture in homotopy theory has made it possible to extend this result to non-acyclic locally finite groups. For more general groups with torsion it becomes more difficult to make such a strong statement. Nevertheless we show that whe...
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In the present note, we discuss certain observations made by the author in February 2009 concerning strongly torsion-free profinite groups [cf. [Mzk2], Definition 1.1, (iii)]. These observations grew out of e-mail correspondences between the author, Akio Tamagawa, and Marco Boggi, as well as oral discussions between the author and Akio Tamagawa. Definition 1. Let G be a profinite group. (i) We ...
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The largest class of hyperstructures is the one which satisfies the weak properties; these are called $H_{v}$-structures. In this paper we introduce a special product of elements in $H_{v}$-group $H$ and define a new class of $H_{v}$-groups called strongly $H_{v}$-groups. Then we show that in strongly $H_{v}$-groups $beta=beta^{ast}$. Also we express $theta$-hyperoperation and investigat...
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We pursue the program initiated in [7], which consists of an attempt by means of K-theory to construct a strongly torsion generated group with prescribed center and integral homology in dimensions two and higher. Using algebraic and topological K-theory for real C∗-algebras, we realize such a construction up to homological dimension five. We also explore the limits of the K-theoretic approach.
متن کاملThe Stable Homotopy of the Classical Groups.
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ژورنال
عنوان ژورنال: Commentarii Mathematici Helvetici
سال: 2009
ISSN: 0010-2571
DOI: 10.4171/cmh/185