ID | 33132 |
FullText URL | |
Author |
Kikyo, Hirotaka
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Abstract | g(G) denotes the central gap number of a group G. We show that for n ≥ 8, g(Sn) ≥ n and g(An) ≥ n-2. We give exact values of g(Sn) and g(An) for small n's. In particular, g(S9) = 9 and g(A9) = 7. Therefore, for any positive integer n ≠ 1, 3, 5 there is a group G such that n = g(G). G can be finite or infinite. |
Keywords | central gap number
symmetric group
alternating group
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Published Date | 2008-01
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Publication Title |
Mathematical Journal of Okayama University
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Volume | volume50
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Issue | issue1
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Publisher | Department of Mathematics, Faculty of Science, Okayama University
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Start Page | 63
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End Page | 84
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ISSN | 0030-1566
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NCID | AA00723502
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Content Type |
Journal Article
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language |
English
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File Version | publisher
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Refereed |
True
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Submission Path | mjou/vol50/iss1/2
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JaLCDOI |