References
- Brandl , R. and Shi , W. J. 1991 . Finite groups whose element orders are consecutive integers . J. Algebra , 143 ( 2 ) : 388 – 400 .
- Brandl , R. and Shi , W. J. 1994 . The characterization of PSL(2, q) by its element orders . J. Algebra , 163 : 109 – 114 .
- Chen , Z. M. and Shi , W. J. 1993 . On C pp simple groups . J. Southwest-China Normal Univ. , 18 ( 3 ) : 249 – 256 .
- Conway , J. H. , Curtis , R. T. , Norton , S. P. , Parker , R. A. and Wilson , R. A. 1985 . Atlas of Finite Groups Oxford : Clarendon Press .
- Deng , H. , Lucido , M. S. and Shi , W. J. 2002 . The number of isomorphism classes of finite groups with given element orders . Algebra Logic , 41 ( 1 ) : 39 – 46 .
- Gorenstein , D. 1980 . Finite Groups New York : Harper and Row .
- Kondratév , A. S. 1989 . Prime graph components of finite simple groups . Math. USSR Sbornik , 180 ( 6 ) : 787 – 797 .
- Kondratév , A. S. and Mazurov , V. D. 2000 . Recognition of alternating groups of prime degree from their element orders . Siberian Math. J. , 41 ( 2 ) : 294 – 302 .
- Lipschutz , S. and Shi , W. J. 2000 . Finite groups whose element orders do not exceed twenty . Prog. Natural Sci. , 10 ( 1 ) : 11 – 21 .
- Lucido , M. S. 2002 . Groups in which the prime graph is a tree . Boll. UMI(8) , 5-B : 131 – 148 .
- Mazurov , V. D. 1997 . Characterizations of finite groups by sets of orders of their elements . Algebra Logic , 36 ( 1 ) : 23 – 32 .
- Mazurov , V. D. 1998 . Recognition of finite groups by a set of orders of their elements . Algebra Logic , 37 ( 6 ) : 371 – 379 .
- Mazurov , V. D. 2000 . Infinite groups with Abelian centralizers of involutions . Algebra Logic , 39 ( 1 ) : 42 – 49 .
- Passman , D. S. 1968 . Permutation Groups New York : W. A. Benjamin Inc .
- Shi , W. J. 1994 . Finite groups whose element orders do not exceed 12 . J. Southwest China Normal Univ. , 19 ( 4 ) : 341 – 345 .
- Williams , J. S. 1981 . Prime graph components of finite groups . J. Algebra , 69 : 487 – 513 .
- Zsigmondy , K. 1892 . Zur Theorie der Potenzreste . Monatsh. Math. Phys. , 3 : 265 – 284 .
- #Communicated by D. Easdown.