VARIETY OF PERFECT GROUPS AND ISOLOGIC GROUPS

S. Mostafa Taheri (Iran)

Received August 10, 2008

References:

[1] P. Hall, The classification of prime-power groups, J. Reine Angew. Math. 182 (1940), 130-141. [2] N. S. Hekster, Varieties of groups and isologisms, J. Austral. Math. Soc. Ser. A 46 (1989), 22-60. [3] M. R. Jones and J. Wiegold, Isoclinisms and covering groups, Bull. Austral. Math. Soc. 11 (1974), 71-76. [4] G. Karpilovsky, The Schur multiplier, London Mathematical Society Monographs, New Series, Vol. 2, The Clarendon Press, Oxford University Press, New York, 1987. [5] C. R. Leedham-Green and S. McKay, Bear-invariants, isologism, varietal laws and homology, Acta Math. 137 (1976), 99-150. [6] M. R. R. Moghaddam, The Bear-invariant of a direct product, Arch. Math. (Basel) 33 (1979/80), 504-511. [7] H. Neumann, Varieties of groups, Ergebnisse der Math., Neue Folge 37, Springer, Berlin, 1967. [8] I. Schur, Uberdie dars tellung der endlichen groppen durch gebrochenc linear substitution en, J. Reine Angew. Math. 127 (1904), 20-50.

Keywords and phrases: variety of perfect groups, isologism.