Maximal subsets of pairwise non-commuting elements of p-groups of order less than p^6
Let G be a non-abelian group of order p^n , where n ≤ 5 in whichG is not extra special of order p^5 . In this paper we determine the maximalsize of subsets X of G with the property that xy is not equal to yx for any distinct x, y in X.
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| Format: | Article |
| Language: | English |
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University of Isfahan
2014-03-01
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| Series: | International Journal of Group Theory |
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| Online Access: | http://www.theoryofgroups.ir/?_action=showPDF&article=3511&_ob=4929283f277e00c3ce2dd11ff44df080&fileName=full_text.pdf. |
| Summary: | Let G be a non-abelian group of order p^n , where n ≤ 5 in whichG is not extra special of order p^5 . In this paper we determine the maximalsize of subsets X of G with the property that xy is not equal to yx for any distinct x, y in X. |
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| ISSN: | 2251-7650 2251-7669 |