Applications of Fox's derivation in determining the generators of a group
2000 ◽
Vol 61
(1)
◽
pp. 27-32
Keyword(s):
We give a necessary and sufficient condition for a set of elements to be a generating set of a quotient group F/N, where F is the free group of rank n and N is a normal subgroup of F. Birman's Inverse Function Theorem is a corollary of our criterion. As an application of this criterion, we give necessary and sufficient conditions for a set of elements of the Burnside group B (n,p) of exponent p and rank n to be a generating set.
2018 ◽
Vol 28
(01)
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pp. 115-131
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2000 ◽
Vol 11
(03)
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pp. 515-524
1972 ◽
Vol 18
(2)
◽
pp. 129-136
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1969 ◽
Vol 1
(2)
◽
pp. 145-160
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1981 ◽
Vol 91
(1-2)
◽
pp. 135-145
1966 ◽
Vol 62
(4)
◽
pp. 673-677
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2007 ◽
Vol 49
(3)
◽
pp. 431-447
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2015 ◽
Vol 14
(07)
◽
pp. 1550099
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