Non-cancellative power-free groups
1966 ◽
Vol 7
(4)
◽
pp. 207-212
A. Geddes [1, Theorem 3.3] has shown that the partial algebraic system which he has called a power-free group need not be cancellative. In other words, there exist power-free groups containing at least one element a with the property that ab can equal ac when b ≠ c. In the present paper we propose to study the structure of such non-cancellative power-free groups, and we shall in fact obtain a complete solution to this problem.
1966 ◽
Vol 7
(4)
◽
pp. 199-206
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1949 ◽
Vol 1
(2)
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pp. 187-190
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1998 ◽
Vol 41
(2)
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pp. 325-332
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2019 ◽
Vol 12
(2)
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pp. 590-604
2015 ◽
Vol 159
(1)
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pp. 89-114
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1981 ◽
Vol 24
(2)
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pp. 129-136
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2006 ◽
Vol 16
(06)
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pp. 1031-1045
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2005 ◽
Vol 14
(08)
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pp. 1087-1098
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