Khukhro, E. I.
(2015)
On finite soluble groups with almost fixedpointfree automorphisms of noncoprime order.
Siberian Mathematical Journal, 56
(3).
pp. 541548.
ISSN 00374466
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Abstract
It is proved that if a finite psoluble group G admits an automorphism ' of
order pn having at most m fixed points on every 'invariant elementary abelian p0section
of G, then the plength of G is bounded above in terms of pn and m; if in addition the
group G is soluble, then the Fitting height of G is bounded above in terms of pn and
m. It is also proved that if a finite soluble group G admits an automorphism of order
paqb for some primes p; q, then the Fitting height of G is bounded above in terms of j j
and jCG( )j.
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