On finite groups satisfying the permutizer condition

Journal of Algebra

Volumn 191, Issue 2, 1997, Pages 686-703

  Beidleman, James C ^a   Robinson, Derek J S ^b  

^a UNIVERSITY OF KENTUCKY   (United States)

^b UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031570246     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1996.6932     Document Type: Article

References (11)

1. 1. J. H. Conway, et al., "ATLAS of Finite Groups," Clarendon Press, Oxford (1985).
2. 2. B. Huppert, "Endliche Gruppen I," Springer-Verlag, Berlin, 1979.
3. 3. O. H. Kegel, On Huppert's characterization of finite supersoluble groups, in "Proc. Internat. Conf. Theory of Groups, Canberra, 1965," pp 209-215, Gordon and Breach, New York, 1967.
4. 4. P. Kleidman and M. W. Liebeck, "The Subgroup Structure of the Classical Groups," London Math. Lecture Notes, Cambridge 129 (1990).
5. 5. J. C. Lennox and S. E. Stonehewer, "Subnormal Subgroups of Groups," Clarendon Press, Oxford (1987).
6. 6. M. W. Liebeck, C. E. Praeger, and J. Saxl, The maximal factorizations of the finite simple groups and their automorphism groups, Mem. Amer. Math. Soc., Providence 86 (1990).
7. 7. A. C. Niemeyer, and C. E. Praeger, A recognition algorithm for classical groups over finite fields, preprint.
8. 8. D. J. S. Robinson, "A Course in the Theory of Groups," 2nd ed., Springer, New York, 1995.
9. 9. M. Weinstein, "Between Nilpotent and Solvable," Polygonal, Passaic, N.J., 1982.
10. 10. J. Zhang, A note on finite groups satisfying the permutizer condition, Science Bulletin 31 (1986), 363-365.
11. 11. Y. Zhao, On the index complex of a maximal subgroup and the supersolvability of a finite group, Comm. Algebra 24 (1996), 1785-1791.