2026-09-20T00:58:15Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/322452022-01-13T07:54:35Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
Haynes R. Miller.
Ragnarsson, KaÅ i, 1977-
Massachusetts Institute of Technology. Dept. of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2006-03-29T18:27:18Z
2006-03-29T18:27:18Z
2004
2004
http://hdl.handle.net/1721.1/32245
56020161
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2004.
Includes bibliographical references (p. 43-44).
In this thesis we explore the possibility of defining the p-local finite groups of Broto, Levi and Oliver in terms of their classifying spaces. More precisely, we consider the question posed by Haynes Miller, whether an equivalent theory can be recovered by studying maps f: BS --> X from the classifying space of a finite p-group S to a p-complete space X equipped with a stable retract t satisfying a form of Frobenius reciprocity. In the case where S is elementary abelian, we answer this question in the affirmative, by showing that under some finiteness conditions such a triple (f, t, X) does indeed induce a p-local finite group over S. We also discuss the converse in some detail for general S.
by KaÅi Ragnarsson.
Ph.D.
44 p.
1679211 bytes
1677870 bytes
application/pdf
application/pdf
eng
Massachusetts Institute of Technology
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http://dspace.mit.edu/handle/1721.1/7582
Mathematics.
Frobenius transfers and p-local finite groups
Thesis
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