| ID | 33132 |
| FullText URL | |
| Author |
Kikyo, Hirotaka
|
| 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
|
| Published Date | 2008-01
|
| Publication Title |
Mathematical Journal of Okayama University
|
| Volume | volume50
|
| Issue | issue1
|
| Publisher | Department of Mathematics, Faculty of Science, Okayama University
|
| Start Page | 63
|
| End Page | 84
|
| ISSN | 0030-1566
|
| NCID | AA00723502
|
| Content Type |
Journal Article
|
| language |
English
|
| File Version | publisher
|
| Refereed |
True
|
| Submission Path | mjou/vol50/iss1/2
|
| JaLCDOI |
