Abstract
AbstractIn this paper we prove that if V is a vector space over a field of positive characteristric p ≠ 5 then any regular subgroup A of exponent 5 of GL(V) is cyclic. As a consequence a conjecture of Gupta and Mazurov is proved to be true.
Publisher
Cambridge University Press (CUP)
Reference11 articles.
1. On groups’ with small orders of elements
2. Über eine besondere Klasse von Gruppen
3. An infinite group with subgroups of prime order;Ol'šanskii;Izv. Akad. Nauk SSSR Ser. Mat.,1980
4. Groups of exponent 60 with prescribed orders of elements
5. Solution of Burnside's problem for exponent 4;Sanov;Leningrad Univ. Ann. Math. Ser.,1940
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11 articles.
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