The Schreier Technique for Subalgebras of a Free Lie Algebra
1997 ◽
Vol 49
(3)
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pp. 600-616
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AbstractIn group theory Schreier's technique provides a basis for a subgroup of a free group. In this paper an analogue is developed for free Lie algebras. It hinges on the idea of cutting a Hall set into two parts. Using it, we show that proper subalgebras of finite codimension are not finitely generated and, following M. Hall, that a finitely generated subalgebra is a free factor of a subalgebra of finite codimension.
2007 ◽
Vol 17
(05n06)
◽
pp. 1165-1187
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2004 ◽
Vol 15
(10)
◽
pp. 987-1005
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2013 ◽
Vol 23
(01)
◽
pp. 205-213
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2004 ◽
Vol 14
(03)
◽
pp. 389-393
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2005 ◽
Vol 15
(05n06)
◽
pp. 1151-1168
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2009 ◽
Vol 19
(05)
◽
pp. 699-703
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Keyword(s):
2019 ◽
Vol 19
(05)
◽
pp. 2050095
Keyword(s):
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