메뉴 건너뛰기




Volumn 300, Issue 2 SPEC. ISS., 2006, Pages 509-528

On the commuting probability in finite groups

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33646679871     PISSN: 00218693     EISSN: 1090266X     Source Type: Journal    
DOI: 10.1016/j.jalgebra.2005.09.044     Document Type: Article
Times cited : (137)

References (20)
  • 1
  • 2
    • 0002103217 scopus 로고
    • The solvable length of a solvable linear group
    • Dixon J. The solvable length of a solvable linear group. Math. Z. 107 (1968) 151-158
    • (1968) Math. Z. , vol.107 , pp. 151-158
    • Dixon, J.1
  • 4
    • 0001498704 scopus 로고
    • On groups which have a faithful representation of degree less than frac(p - 1, 2)
    • Feit W., and Thompson J.G. On groups which have a faithful representation of degree less than frac(p - 1, 2). Pacific J. Math. 4 (1961) 1257-1262
    • (1961) Pacific J. Math. , vol.4 , pp. 1257-1262
    • Feit, W.1    Thompson, J.G.2
  • 5
    • 33646683503 scopus 로고    scopus 로고
    • J. Fulman, R. Guralnick, Bounds on the numbers and sizes of conjugacy classes in finite Chevalley groups, preprint
  • 6
    • 0000566347 scopus 로고
    • The number of conjugacy classes in a finite group
    • Gallagher P.X. The number of conjugacy classes in a finite group. Math. Z. 118 (1970) 175-179
    • (1970) Math. Z. , vol.118 , pp. 175-179
    • Gallagher, P.X.1
  • 7
    • 4043166311 scopus 로고    scopus 로고
    • The solution of the k ( G V )-problem
    • Gluck D., Magaard K., Riese U., and Schmid P. The solution of the k ( G V )-problem. J. Algebra 279 (2004) 694-719
    • (2004) J. Algebra , vol.279 , pp. 694-719
    • Gluck, D.1    Magaard, K.2    Riese, U.3    Schmid, P.4
  • 8
    • 22744446843 scopus 로고    scopus 로고
    • The probability of generating a finite soluble group
    • Guralnick R., and Wilson J. The probability of generating a finite soluble group. Proc. London Math. Soc. (3) 81 (2000) 405-427
    • (2000) Proc. London Math. Soc. (3) , vol.81 , pp. 405-427
    • Guralnick, R.1    Wilson, J.2
  • 9
    • 0010812211 scopus 로고
    • What is the probability that two group elements commute?
    • Gustafson W.H. What is the probability that two group elements commute?. Amer. Math. Monthly 80 (1973) 1031-1034
    • (1973) Amer. Math. Monthly , vol.80 , pp. 1031-1034
    • Gustafson, W.H.1
  • 11
    • 84972508234 scopus 로고
    • On the number of characters in a p-block of a p-solvable group
    • Knörr R. On the number of characters in a p-block of a p-solvable group. Illinois J. Math. 28 (1984) 181-210
    • (1984) Illinois J. Math. , vol.28 , pp. 181-210
    • Knörr, R.1
  • 12
    • 0039068090 scopus 로고
    • On the number of conjugacy classes of a finite group
    • Kovács L., and Robinson G. On the number of conjugacy classes of a finite group. J. Algebra 160 (1993) 441-460
    • (1993) J. Algebra , vol.160 , pp. 441-460
    • Kovács, L.1    Robinson, G.2
  • 13
    • 21644449004 scopus 로고    scopus 로고
    • Bounding the number of conjugacy classes of a permutation group
    • Maróti A. Bounding the number of conjugacy classes of a permutation group. J. Group Theory 8 (2005) 97-111
    • (2005) J. Group Theory , vol.8 , pp. 97-111
    • Maróti, A.1
  • 14
    • 25644449464 scopus 로고    scopus 로고
    • Heights of characters in blocks of p-solvable groups
    • Moretó A., and Navarro G. Heights of characters in blocks of p-solvable groups. Bull. London Math. Soc. 37 (2005) 373-389
    • (2005) Bull. London Math. Soc. , vol.37 , pp. 373-389
    • Moretó, A.1    Navarro, G.2
  • 15
    • 0001786813 scopus 로고
    • On a conjecture of Brauer for p-solvable groups
    • Nagao H. On a conjecture of Brauer for p-solvable groups. J. Math. Osaka City Univ. 13 (1962) 35-38
    • (1962) J. Math. Osaka City Univ. , vol.13 , pp. 35-38
    • Nagao, H.1
  • 16
    • 0041028584 scopus 로고    scopus 로고
    • Nilpotent injectors and conjugacy classes in solvable groups
    • Robinson G. Nilpotent injectors and conjugacy classes in solvable groups. J. Aust. Math. Soc. 71 3 (2001) 349-352
    • (2001) J. Aust. Math. Soc. , vol.71 , Issue.3 , pp. 349-352
    • Robinson, G.1
  • 17
    • 17344368055 scopus 로고    scopus 로고
    • On Brauer's k ( B )-problem for p-blocks of p-solvable groups with non-Abelian defect groups
    • Robinson G. On Brauer's k ( B )-problem for p-blocks of p-solvable groups with non-Abelian defect groups. J. Algebra 280 (2004) 738-742
    • (2004) J. Algebra , vol.280 , pp. 738-742
    • Robinson, G.1
  • 18
    • 33644626199 scopus 로고    scopus 로고
    • More bounds on norms of generalized characters with applications to p-local bounds and blocks
    • Robinson G. More bounds on norms of generalized characters with applications to p-local bounds and blocks. Bull. London Math. Soc. 37 4 (2005) 555-565
    • (2005) Bull. London Math. Soc. , vol.37 , Issue.4 , pp. 555-565
    • Robinson, G.1
  • 19
    • 1442282250 scopus 로고    scopus 로고
    • Simple groups, permutation groups, and probability
    • Proceedings of the International Congress of Mathematicians, vol. II. Berlin, 1998
    • Shalev A. Simple groups, permutation groups, and probability. Proceedings of the International Congress of Mathematicians, vol. II. Berlin, 1998. Doc. Math. Extra vol. II (1998) 129-137
    • (1998) Doc. Math. , vol.Extra II , pp. 129-137
    • Shalev, A.1
  • 20
    • 0039126767 scopus 로고
    • Sylow p-subgroups of p-solvable subgroups of GL ( n, p )
    • Wolf T.R. Sylow p-subgroups of p-solvable subgroups of GL ( n, p ). Arch. Math. (Basel) 43 (1984) 1-10
    • (1984) Arch. Math. (Basel) , vol.43 , pp. 1-10
    • Wolf, T.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.