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On Stable Cohomology of Central Extensions of Elementary Abelian Groups

Published online by Cambridge University Press:  25 October 2022

Hamid Abban
Affiliation:
Loughborough University
Gavin Brown
Affiliation:
University of Warwick
Alexander Kasprzyk
Affiliation:
University of Nottingham
Shigefumi Mori
Affiliation:
Kyoto University, Japan
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Summary

We consider that kernels of inflation maps associated with extraspecial p-groups in stable group cohomology are generated by their degree-2 components. This turns out to be true if the prime is large enough compared to the rank of the elementary abelian quotient, but false in general.

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Recent Developments in Algebraic Geometry
To Miles Reid for his 70th Birthday
, pp. 4 - 19
Publisher: Cambridge University Press
Print publication year: 2022

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