Finite groups and their coprime automorphisms
Authors:
Emerson de Melo and Pavel Shumyatsky
Journal:
Proc. Amer. Math. Soc. 145 (2017), 3755-3760
MSC (2010):
Primary 20D45
DOI:
https://doi.org/10.1090/proc/13550
Published electronically:
March 27, 2017
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: Let 
be a prime and 
a finite group of exponent 
acting by automorphisms on a finite 
-group 
. Assume that 
has order at least 
and 
is nilpotent of class at most 
for any 
. It is shown that 
is nilpotent with class bounded solely in terms of 
and 
.
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-groups of maximal class as groups of automorphisms, J. Algebra 440 (2015), 100-112. Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 20D45
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Additional Information
Emerson de Melo
Affiliation:
Department of Mathematics, University of Brasília, Brasília-DF, 70910-900, Brazil
Email:
emerson@mat.unb.br
Pavel Shumyatsky
Affiliation:
Department of Mathematics, University of Brasília, Brasília-DF, 70910-900, Brazil
Email:
pavel@unb.br
DOI:
https://doi.org/10.1090/proc/13550
Keywords:
$p$-groups,
automorphisms,
fixed-point
Received by editor(s):
June 3, 2016
Received by editor(s) in revised form:
September 19, 2016, October 7, 2016, and October 12, 2016
Published electronically:
March 27, 2017
Additional Notes:
This research was supported by FAPDF and CNPq-Brazil
Communicated by:
Pham Huu Tiep
Article copyright:
© Copyright 2017
American Mathematical Society
