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Your search keyword '"Carles Broto"' showing total 3 results
Start Over Author "Carles Broto" Journal transactions of the american mathematical society
3 results on '"Carles Broto"'

1. Extensions of $p$-local finite groups

Author

Natàlia Castellana, Jesper Grodal, Carles Broto, Ran Levi, and Bob Oliver

Subjects
Finite group, Pure mathematics, Profinite group, Applied Mathematics, General Mathematics, Sylow theorems, Combinatorics, Mathematics::Group Theory, Group of Lie type, Locally finite group, Symmetric group, Simple group, Classification of finite simple groups, Mathematics
Abstract

A p-local finite group consists of a finite p-group S, together with a pair of categories which encode "conjugacy" relations among subgroups of S, and which are modelled on the fusion in a Sylow p-subgroup of a finite group. It contains enough information to define a classifying space which has many of the same properties as p-completed classifying spaces of finite groups. In this paper, we study and classify extensions of p-local finite groups, and also compute the fundamental group of the classifying space of a p-local finite group.

Published
2007
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3. Embeddings of $\mathrm{DI}_2$ in $\mathrm{F}_4$.

Author

Carles Broto and Jesper M. Møller

Subjects
EMBEDDINGS (Mathematics), ALGEBRA
Abstract

We show that there is only one embedding of $\mathrm B\mathrm{DI}_2$ in $\mathrm B\mathrm{F}_4$ at the prime $p=3$, 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 $p=3$ 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 $\mathrm B\mathrm{DI}_2$ [ABSTRACT FROM AUTHOR]

Published
2001
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