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ON CONJUGACY OF SUPPLEMENTS OF NORMAL SUBGROUPS OF FINITE GROUPS

  • A. BALLESTER-BOLINCHES (a1) and LUIS M. EZQUERRO (a2)

Abstract

The objective of this paper is to find some sufficient conditions to ensure the conjugacy of supplements of a normal subgroup of a soluble group.

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[1]Ballester-Bolinches, A. and Ezquerro, L. M., Classes of Finite Groups (Springer, Dordrecht, 2006).
[2]Ballester-Bolinches, A. and Pérez-Ramos, M. D., ‘On $\mathfrak{F}$-subnormal subgroups and Frattini-like subgroups of a finite group’, Glasgow Math. J. 36 (1994), 241247.
[3]Doerk, K. and Hawkes, T., Finite Soluble Groups (Walter de Gruyter, Berlin, 1992).
[4]Parker, C. and Rowley, P., ‘A note on conjugacy of supplements in finite soluble groups’, Bull. Lond. Math. Soc. 42 (2010), 417419.
[5]Weiss, E., Cohomology of Groups (Academic Press, New York, 1969).
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