ON THE FIXED POINTS OF AFINITE GROUP ACTING ON A RELATIVELY FREE LIE ALGEBRA
Glasgow mathematical journal, Tome 42 (2000) no. 2, pp. 167-181
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We show that if F is a free Lie algebra of rank at least 2 and if G is a non-trivial finite group of automorphisms of F then thefixed point subalgebra F^G is not finitely generated. Some similarresults are proved for relatively free Lie algebras.
BRYANT, R. M.; PAPISTAS, A.I. ON THE FIXED POINTS OF AFINITE GROUP ACTING ON A RELATIVELY FREE LIE ALGEBRA. Glasgow mathematical journal, Tome 42 (2000) no. 2, pp. 167-181. doi: 10.1017/S0017089500020024
@article{10_1017_S0017089500020024,
author = {BRYANT, R. M. and PAPISTAS, A.I.},
title = {ON {THE} {FIXED} {POINTS} {OF} {AFINITE} {GROUP} {ACTING} {ON} {A} {RELATIVELY} {FREE} {LIE} {ALGEBRA}},
journal = {Glasgow mathematical journal},
pages = {167--181},
year = {2000},
volume = {42},
number = {2},
doi = {10.1017/S0017089500020024},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500020024/}
}
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