Sectional rank and cohomology

Robert M. Guralnick; Pham Huu Tiep

doi:10.1016/j.jalgebra.2019.04.023

Sectional rank and cohomology

Robert M. Guralnick, Pham Huu Tiep

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

Abstract

Donovan's conjecture implies a bound on the dimensions of cohomology groups in terms of the size of a Sylow p-subgroup and we give a proof of a stronger bound (in terms of sectional p-rank) for dim⁡H¹(G,V). We also prove a reduction theorem for higher cohomology.

Original language	English (US)
Journal	Journal of Algebra
DOIs	https://doi.org/10.1016/j.jalgebra.2019.04.023
State	Published - Jan 1 2019
Externally published	Yes

Keywords

Group cohomology
Sectional rank

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1016/j.jalgebra.2019.04.023

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abstract = "Donovan's conjecture implies a bound on the dimensions of cohomology groups in terms of the size of a Sylow p-subgroup and we give a proof of a stronger bound (in terms of sectional p-rank) for dim⁡H1(G,V). We also prove a reduction theorem for higher cohomology.",

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AU - Tiep, Pham Huu

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AB - Donovan's conjecture implies a bound on the dimensions of cohomology groups in terms of the size of a Sylow p-subgroup and we give a proof of a stronger bound (in terms of sectional p-rank) for dim⁡H1(G,V). We also prove a reduction theorem for higher cohomology.

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