The structure of cancellative power-free groups
1966 ◽
Vol 7
(4)
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pp. 199-206
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The definition of a power-free group will be found in [1]. It is a partial algebraic system which, roughly speaking, may be thought of as a group in which (with the exception of the identity) squares and higher powers of an element are not defined.It has been shown [1, Theorem 3.3] that the usual cancellation laws need not hold in a power-free group. When these laws do hold, the power-free group is called cancellative. In this paper we shall be solely concerned with cancellative power-free groups and the term ‘power-free group’ is to be understood to mean ‘cancellative power-free group’.
1966 ◽
Vol 7
(4)
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pp. 207-212
2012 ◽
Vol 34
(1)
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pp. 263-298
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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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Keyword(s):