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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2019.1
- 수록면
- 203 - 207 (5page)
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초록· 키워드
오류제보하기
The commutativity degree of a finite group is the probability that two randomly chosen group elements commute. In this paper we give a sharp upper bound of commutativity degree of nonabelial groups in terms of their order.
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참고문헌 (9)
참고문헌 신청
A. K. Das / 2011 / A characterisation of certain finite groups of odd order / Math. Proc. R. Ir. Acad 111A(2):69~78
S. Dolfi / 2010 / Finite groups whose noncentral commuting elements have centralizers of equal size / Bull. Aust. Math. Soc 82:293~304
R. M. Guralnick / 2006 / On the commuting probability in finite groups / J. Algebra 300(2):509~528
W. H. Gustafson / 1973 / What is the probability that two group elements commute? / Amer. Math. Monthly 80(9):1031~1034
P. Lescot / 1995 / Isoclinism classes and commutativity degrees of finite groups / J. Algebra 177(3):847~869
S. Dolfi / 2010 / Finite groups whose noncentral commuting elements have centralizers of equal size / Bull. Aust. Math. Soc 82:293~304
R. M. Guralnick / 2006 / On the commuting probability in finite groups / J. Algebra 300(2):509~528
W. H. Gustafson / 1973 / What is the probability that two group elements commute? / Amer. Math. Monthly 80(9):1031~1034
P. Lescot / 1995 / Isoclinism classes and commutativity degrees of finite groups / J. Algebra 177(3):847~869
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