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

Departament de Matemàtiques

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Resum

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.

Idioma original	Anglès
Pàgines (de-a)	4461-4479
Revista	Transactions of the American Mathematical Society
Volum	353
Número	11
Estat de la publicació	Publicada - 1 de des. 2001

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@article{16430f8c969f4d90a6d61173346f1d77,

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.",

keywords = "Dickson algebra, Homotopy Lie groups",

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

year = "2001",

month = dec,

day = "1",

language = "English",

volume = "353",

pages = "4461--4479",

journal = "Transactions of the American Mathematical Society",

issn = "0002-9947",

publisher = "American Mathematical Society",

number = "11",

}

TY - JOUR

T1 - Embeddings of DI2in F4

AU - Broto, Carles

AU - Møller, Jesper M.

PY - 2001/12/1

Y1 - 2001/12/1

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

UR - https://www.scopus.com/pages/publications/23044529143

M3 - Article

SN - 0002-9947

VL - 353

SP - 4461

EP - 4479

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 11

ER -

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

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