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On the existence of a v_2^32-self map on M(1,4) at the prime 2

143   0   0.0 ( 0 )
 نشر من قبل Mark Behrens
 تاريخ النشر 2008
  مجال البحث
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Let M(1) be the mod 2 Moore spectrum. J.F. Adams proved that M(1) admits a minimal v_1-self map v_1^4: Sigma^8 M(1) -> M(1). Let M(1,4) be the cofiber of this self-map. The purpose of this paper is to prove that M(1,4) admits a minimal v_2-self map of the form v_2^32: Sigma^192 M(1,4) -> M(1,4). The existence of this map implies the existence of many 192-periodic families of elements in the stable homotopy groups of spheres.



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