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A cohomological property of <Emphasis Type="Italic">p</Emphasis>-groups |
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| Authors: | |
| Institution: | (1) School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, E1 4NS London, United Kingdom |
| Abstract: | Let p be a prime,
a finite p-group,
any finite group with order divisible by p,
and
any action of
on
. We show that the cardinality of the set of all derivations
with respect to this action is a multiple of
p. This
generalises theorems of Frobenius and Hall.
Received: 16 June 2003 |
| Keywords: | 20J06 |
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