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 dimH1(G,V). We also prove a reduction theorem for higher cohomology.
Original language | English (US) |
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Journal | Journal of Algebra |
DOIs | |
State | Published - Jan 1 2019 |
Externally published | Yes |
Keywords
- Group cohomology
- Sectional rank
ASJC Scopus subject areas
- Algebra and Number Theory