The Commuting Graph of Minimal Nonsolvable Groups

Geometriae Dedicata

Volumn 88, Issue 1-3, 2001, Pages 55-66

  Segev, Yoav ^a  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

Author keywords

Commuting graph; Division algebra; Minimal nonsolvable; Partitions

Indexed keywords

EID: 0005380285     PISSN: 00465755     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1013180005982     Document Type: Article

References (11)

1. Conway, J. H. et al.: Atlas of Finite Groups, Clarendon Press, Oxford.
2. Gluck, D.: Trivial set-stabilizers in finite permutation groups, Canad. J. Math. 35(1) (1983), 59-67.
3. Malle, G., Saxl, J. and Weigel, T.: Generation of classical groups, Geom. Dedicata 49 (1994), 85-116.
4. Rapinchuk, A. and Segev, Y.: Valuation-like maps and the congruence subgroup property, Invent. Math. 144 (2001), 571-607.
5. Rapinchuk, A., Segev, Y. and Seitz, G.: Finite quotients of the multiplicative group of finite-dimensional division algebra are sovable, submitted.
6. Rowen, L. R. and Segev, Y.: The finite quotients of the multiplicative group of a division algebra of degree 3 are solvable, Israel J. Math. 111 (1999), 373-380.
7. Rowen, L. R. and Segev, Y.: The multiplicative group of a division algebra of degree 5 and Wedderburn's Factorization Theorem, Contemp. Math. 259 (2000), 475-486.
8. Segev, Y.: On finite homomorphic images of the multiplicative group of a division algebra, Ann. Math. 149 (1999), 219-251.
9. Segev, Y.: Some applications of Wedderburn's Factorization Theorem, Bull. Austral. Math. Soc. 59 (1999), 105-110.
10. n and the commuting graph of finite simple groups, to appear in Pacific J. Math.
11. Seress, A.: The minimal base size of primitive solvable permutation groups, J. London Math. Soc. 53 (1996), 243-255.