Let l be a prime. For any algebraically closed field F of positive characteristic p different from l, we show that for all natural numbers n the nth stable homotopy group of spheres is isomorphic to the (n, 0) motivic stable homotopy group of spheres over F after inverting the characteristic of the field F. For a finite field F with q elements, we calculate the (n,0) motivic stable homotopy groups over F after inverting the characteristic of F for n < 19 with partial results when n = 19 and n = 20. This is achieved by studying the properties of the motivic Adams spectral sequence under base change and computer calculations of Ext groups.
Subject (authority = RUETD)
Topic
Mathematics
Subject (authority = ETD-LCSH)
Topic
Homotopy theory
Subject (authority = ETD-LCSH)
Topic
Homotopy groups
RelatedItem (type = host)
TitleInfo
Title
Rutgers University Electronic Theses and Dissertations
Identifier (type = RULIB)
ETD
Identifier
ETD_7108
PhysicalDescription
Form (authority = gmd)
electronic resource
InternetMediaType
application/pdf
InternetMediaType
text/xml
Extent
1 online resource (viii, 71 p. : ill.)
Note (type = degree)
Ph.D.
Note (type = bibliography)
Includes bibliographical references
Note (type = special display note)
by Glen M. Wilson
RelatedItem (type = host)
TitleInfo
Title
Graduate School - New Brunswick Electronic Theses and Dissertations
Identifier (type = local)
rucore19991600001
Location
PhysicalLocation (authority = marcorg); (displayLabel = Rutgers, The State University of New Jersey)
Rutgers University. Graduate School - New Brunswick
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License
Name
Author Agreement License
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