### Abstract

There exist spaces BSol(q) which are the classifying spaces of a family of 2-local finite groups based on certain fusion system over the Sylow 2-subgroups of Spin(7)(q). In this paper we calculate the cohomology of BSol( q) as an algebra over the Steenrod algebra A(2). We also provide the calculation of the cohomology algebra over A2 of the finite group of Lie type G(2)(q).

Original language | English |
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Pages (from-to) | 307-318 |

Number of pages | 11 |

Journal | Manuscripta Mathematica |

Volume | 120 |

DOIs | |

Publication status | Published - 2006 |

### Keywords

- MOORE SPECTRAL SEQUENCE

### Cite this

*Manuscripta Mathematica*,

*120*, 307-318. https://doi.org/10.1007/s00229-006-0014-x

**The cohomology of exotic 2-local finite groups.** / Grbic, Jelena.

Research output: Contribution to journal › Article

*Manuscripta Mathematica*, vol. 120, pp. 307-318. https://doi.org/10.1007/s00229-006-0014-x

}

TY - JOUR

T1 - The cohomology of exotic 2-local finite groups

AU - Grbic, Jelena

PY - 2006

Y1 - 2006

N2 - There exist spaces BSol(q) which are the classifying spaces of a family of 2-local finite groups based on certain fusion system over the Sylow 2-subgroups of Spin(7)(q). In this paper we calculate the cohomology of BSol( q) as an algebra over the Steenrod algebra A(2). We also provide the calculation of the cohomology algebra over A2 of the finite group of Lie type G(2)(q).

AB - There exist spaces BSol(q) which are the classifying spaces of a family of 2-local finite groups based on certain fusion system over the Sylow 2-subgroups of Spin(7)(q). In this paper we calculate the cohomology of BSol( q) as an algebra over the Steenrod algebra A(2). We also provide the calculation of the cohomology algebra over A2 of the finite group of Lie type G(2)(q).

KW - MOORE SPECTRAL SEQUENCE

U2 - 10.1007/s00229-006-0014-x

DO - 10.1007/s00229-006-0014-x

M3 - Article

VL - 120

SP - 307

EP - 318

JO - Manuscripta Mathematica

JF - Manuscripta Mathematica

SN - 0025-2611

ER -