Topologies on finite groups
1969 ◽
Vol 1
(3)
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pp. 315-317
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It has been shown by D. Stephen that the number N of open sets in a non-discrete topology on a finite set with n elements is not greater than 3 × 2n-2.We show that for admissable topologies on a finite group N ≦ 2n/r, where r is the least order of its non-trivial normal subgroups. This is clearly a sharper bound.
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1953 ◽
Vol 5
◽
pp. 477-497
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2014 ◽
Vol 56
(3)
◽
pp. 691-703
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1969 ◽
Vol 21
◽
pp. 418-429
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2015 ◽
Vol 14
(04)
◽
pp. 1550057
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2014 ◽
Vol 57
(3)
◽
pp. 648-657
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