A topological proof of Stallings' theorem on lower central series of groups
1985 ◽
Vol 97
(3)
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pp. 465-472
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Keyword(s):
For a topologist, the fundamental group G of a space is usually the most important non-abelian algebraic object of study. However, under many equivalence relationships G is not invariant, so topologists have been led to examine other algebraic objects. In particular, for questions of concordance the lower central series of G seems to play the crucial role. Recall that the lower central series Gn(n = 1,2,...) of G is defined by G1 = G, Gn = [G, Gn_1] for n > 1, and the lower central sequence of G is the sequence of quotients G/Gn.
2007 ◽
Vol 16
(10)
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pp. 1295-1329
Keyword(s):
2020 ◽
Vol 66
(4)
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pp. 544-557
2011 ◽
Vol 328
(1)
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pp. 287-300
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2018 ◽
Vol 27
(13)
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pp. 1842009
Keyword(s):
1979 ◽
Vol 85
(2)
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pp. 261-270
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1978 ◽
Vol 19
(2)
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pp. 153-154
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Keyword(s):
1977 ◽
Vol 17
(1)
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pp. 53-89
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Keyword(s):