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J. Aust. Math. Soc.
77 (2004), 297-304 | ||
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Fixed point free actions of groups of exponent 5
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| Abstract | ||
In this paper we prove that if
 is a vector space over a field of positive
characteristic
 then any regular subgroup
 of exponent 5 of
is cyclic. As a consequence a conjecture of
Gupta and Mazurov is proved to be true.
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