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On Arithmetic Functions of Finite Groups
Published online by Cambridge University Press: 17 April 2009
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The object of this paper is to develop and study group theoretic analogues of some of the fundamental concepts and results of arithmetic functions of positive integers.
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- Copyright © Australian Mathematical Society 2007
References
[1]Apostol, T.M., Introduction to analytic number theory, Springer International Student Edition (Narosa Publishing House, New Delhi, 1993).Google Scholar
[2]Brodie, M.A., Chamberlain, R.F. and Kappe, L.-C., ‘Finite coverings by normal subgroups’, Proc. Amer. Math. Soc. 104 (1988), 669–674.CrossRefGoogle Scholar
[3]Cohen, E., ‘Arithemetical functions of finite abelian groups’, Math. Ann. 142 (1961), 165–182.CrossRefGoogle Scholar
[4]Delsarte, P.S., ‘Fonctions de Möbius sur les groupes abeliens finis’, Ann. of Math. 49 (1948), 600–609.CrossRefGoogle Scholar
[7]Lucido, M.S. and Pournaki, M.R., ‘Elements with square roots in finite groups’, Algebra Colloq. 12 (2005), 677–690.CrossRefGoogle Scholar
[8]Mann, A., ‘Finite groups containing many involutions’, Proc. Amer. Math. Soc. 122 (1994), 383–326.CrossRefGoogle Scholar
[9]Marefat, Y., ‘Conjugacy structure type and degree structure type in finite p-groups’, Turkish J. Math. 24 (2000), 321–326.Google Scholar
[10]Menegazzo, F., ‘The number of generators of a finite group’, Irish Math. Soc. Bull. 50 (2003), 117–128.CrossRefGoogle Scholar
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