Transactions of the American Mathematical Society

Author(s): Carles Broto; Jesper M. Møller
Journal: Trans. Amer. Math. Soc. 353 (2001), 4461-4479.
MSC (1991): Primary 55R35, 55P15, 55P10
Posted: May 3, 2001
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We show that there is only one embedding of $\mathrm B\mathrm{DI}_2$ in $\mathrm B\mathrm{F}_4$ at the prime

, up to self-maps of $\mathrm B\mathrm{DI}_2$ . We also describe the effect of the group of self-equivalences of $\mathrm B\mathrm{F}_4$ at the prime

on this embedding and then show that the Friedlander exceptional isogeny composed with a suitable Adams map is an involution of $\mathrm B\mathrm{F}_4$ whose homotopy fixed point set coincide with $\mathrm B\mathrm{DI}_2$

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Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 55R35, 55P15, 55P10

Carles Broto
Affiliation: Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain
Email: broto@mat.uab.es

Jesper M. Møller
Affiliation: Matematisk Institut, Universitetsparken 5, DK-2100 København Ø
Email: moller@math.ku.dk

DOI: 10.1090/S0002-9947-01-02781-7
PII: S 0002-9947(01)02781-7
Keywords: Homotopy Lie groups, Dickson algebra
Received by editor(s): May 4, 1999
Posted: May 3, 2001
Additional Notes: C. Broto is partially supported by DGES grant 97-0203
Copyright of article: Copyright 2001, American Mathematical Society

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