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

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

Fingerprint

Cohomology

P-rank

Cohomology of Groups

Subgroup

Imply

Theorem

Keywords

Group cohomology
Sectional rank

ASJC Scopus subject areas

Algebra and Number Theory

Cite this

Guralnick, R. M., & Tiep, P. H. (2019). Sectional rank and cohomology. Journal of Algebra. https://doi.org/10.1016/j.jalgebra.2019.04.023

Sectional rank and cohomology. / Guralnick, Robert M.; Tiep, Pham Huu.

In: Journal of Algebra, 01.01.2019.

Research output: Contribution to journal › Article

Guralnick, RM & Tiep, PH 2019, 'Sectional rank and cohomology', Journal of Algebra. https://doi.org/10.1016/j.jalgebra.2019.04.023

Guralnick RM, Tiep PH. Sectional rank and cohomology. Journal of Algebra. 2019 Jan 1. https://doi.org/10.1016/j.jalgebra.2019.04.023

Guralnick, Robert M. ; Tiep, Pham Huu. / Sectional rank and cohomology. In: Journal of Algebra. 2019.

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Access to Document

10.1016/j.jalgebra.2019.04.023