Pimenidou, Irini (1988) On the theory of characters of π-separable groups. PhD thesis, University of Warwick.

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Abstract

In this thesis we demonstrate the existence of certain Fong characters that behave well with respect to subnormal subgroups of a π-separable group G, thereby answering a question of I. M. Isaacs. We also prove that any π-separable group G has a set of X-injectors, where X is the class of groups that can be written as the direct product of their Hall π- and Hall π'- subgroups. Further we prove that for all χ ε Irr(G) there exist a unique normal subgroup FN(χ) of G which is maximal with the property that every irreducible constituent of χFN(χ) is π-factorable. We then show that ȠFN(χ) = Gx, where Gx is the X-radical of G. Finally we construct a set χεIrr(G).

Item Type:	Thesis (PhD)
Subjects:	Q Science > QA Mathematics
Library of Congress Subject Headings (LCSH):	Group theory, Finite groups
Official Date:	December 1988
Dates:	Date Event December 1988 Submitted
Institution:	University of Warwick
Theses Department:	Mathematics Institute
Thesis Type:	PhD
Publication Status:	Unpublished
Supervisor(s)/Advisor:	Hawkes, Trevor O., 1936-
Sponsors:	Greek State Scholarships Foundation
Format of File:	pdf
Extent:	iii, 98 leaves : illustrations
Language:	eng

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