DERIVED SUBGROUPS OF FIXED POINTS IN PROFINITE GROUPS
Glasgow mathematical journal, Tome 54 (2012) no. 1, pp. 97-105
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The main result of this paper is the following theorem. Let q be a prime and A be an elementary abelian group of order q3. Suppose that A acts as a coprime group of automorphisms on a profinite group G in such a manner that CG(a)′ is periodic for each a ∈ A#. Then G′ is locally finite.
ACCIARRI, CRISTINA; LIMA, ALINE DE SOUZA; SHUMYATSKY, PAVEL. DERIVED SUBGROUPS OF FIXED POINTS IN PROFINITE GROUPS. Glasgow mathematical journal, Tome 54 (2012) no. 1, pp. 97-105. doi: 10.1017/S0017089511000383
@article{10_1017_S0017089511000383,
author = {ACCIARRI, CRISTINA and LIMA, ALINE DE SOUZA and SHUMYATSKY, PAVEL},
title = {DERIVED {SUBGROUPS} {OF} {FIXED} {POINTS} {IN} {PROFINITE} {GROUPS}},
journal = {Glasgow mathematical journal},
pages = {97--105},
year = {2012},
volume = {54},
number = {1},
doi = {10.1017/S0017089511000383},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000383/}
}
TY - JOUR AU - ACCIARRI, CRISTINA AU - LIMA, ALINE DE SOUZA AU - SHUMYATSKY, PAVEL TI - DERIVED SUBGROUPS OF FIXED POINTS IN PROFINITE GROUPS JO - Glasgow mathematical journal PY - 2012 SP - 97 EP - 105 VL - 54 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000383/ DO - 10.1017/S0017089511000383 ID - 10_1017_S0017089511000383 ER -
%0 Journal Article %A ACCIARRI, CRISTINA %A LIMA, ALINE DE SOUZA %A SHUMYATSKY, PAVEL %T DERIVED SUBGROUPS OF FIXED POINTS IN PROFINITE GROUPS %J Glasgow mathematical journal %D 2012 %P 97-105 %V 54 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000383/ %R 10.1017/S0017089511000383 %F 10_1017_S0017089511000383
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