On Commutator Equalities and Stabilizers
in Free Groups
1976 ◽
Vol 19
(3)
◽
pp. 263-267
◽
AbstractA simple proof is given of a result of Hmelevskiï on the solutions of the equation [x, y] = [u, υ] over a free group for any specified u, υ. To illustrate, the equation is solved explicitly for (u, υ) = (a, b), (a2, b), ([a, b], c) (where a, b, c freely generate the free group) and thence stabilizers of the corresponding commutators in the automorphism group of this free group are determined.
2010 ◽
Vol 20
(03)
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pp. 343-355
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2001 ◽
Vol 63
(3)
◽
pp. 607-622
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1985 ◽
Vol 31
(3)
◽
pp. 339-348
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1988 ◽
Vol 40
(5)
◽
pp. 1144-1155
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2017 ◽
Vol 60
(4)
◽
pp. 973-1001
Keyword(s):
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1949 ◽
Vol 1
(2)
◽
pp. 187-190
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Keyword(s):
1998 ◽
Vol 41
(2)
◽
pp. 325-332
◽
2019 ◽
Vol 12
(2)
◽
pp. 590-604