Embeddings of DI<inf>2</inf>in F<inf>4</inf>

Carles Broto; Jesper M. Møller

Embeddings of DI<inf>2</inf>in F<inf>4</inf>

Carles Broto, Jesper M. Møller

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

3 Citations (Scopus)

Abstract

We show that there is only one embedding of BDI2 in BF4 at the prime p = 3, up to self-maps of BDI2. We also describe the effect of the group of self-equivalences of BF4at the prime p = 3 on this embedding and then show that the Friedlander exceptional isogeny composed with a suitable Adams map is an involution of BF4whose homotopy fixed point set coincide with BDI2 © 2001 American Mathematical Society.

Original language	English
Pages (from-to)	4461-4479
Journal	Transactions of the American Mathematical Society
Volume	353
Issue number	11
Publication status	Published - 1 Dec 2001

Keywords

Dickson algebra
Homotopy Lie groups

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title = "Embeddings of DI2in F4",

abstract = "We show that there is only one embedding of BDI2 in BF4 at the prime p = 3, up to self-maps of BDI2. We also describe the effect of the group of self-equivalences of BF4at the prime p = 3 on this embedding and then show that the Friedlander exceptional isogeny composed with a suitable Adams map is an involution of BF4whose homotopy fixed point set coincide with BDI2 {\textcopyright} 2001 American Mathematical Society.",

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author = "Carles Broto and M{\o}ller, {Jesper M.}",

year = "2001",

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T1 - Embeddings of DI2in F4

AU - Broto, Carles

AU - Møller, Jesper M.

PY - 2001/12/1

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N2 - We show that there is only one embedding of BDI2 in BF4 at the prime p = 3, up to self-maps of BDI2. We also describe the effect of the group of self-equivalences of BF4at the prime p = 3 on this embedding and then show that the Friedlander exceptional isogeny composed with a suitable Adams map is an involution of BF4whose homotopy fixed point set coincide with BDI2 © 2001 American Mathematical Society.

AB - We show that there is only one embedding of BDI2 in BF4 at the prime p = 3, up to self-maps of BDI2. We also describe the effect of the group of self-equivalences of BF4at the prime p = 3 on this embedding and then show that the Friedlander exceptional isogeny composed with a suitable Adams map is an involution of BF4whose homotopy fixed point set coincide with BDI2 © 2001 American Mathematical Society.

KW - Dickson algebra

KW - Homotopy Lie groups

M3 - Article

VL - 353

SP - 4461

EP - 4479

IS - 11

ER -