Sinanan, Shavak (2011) Algorithms for polycyclic-by-finite groups. PhD thesis, University of Warwick.

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Abstract

A set of fundamental algorithms for computing with polycyclic-by-finite groups is
presented here. Polycyclic-by-finite groups arise naturally in a number of contexts; for
example, as automorphism groups of large finite soluble groups, as quotients of finitely
presented groups, and as extensions of modules by groups.
No existing mode of representation is suitable for these groups, since they will typically
not have a convenient faithful permutation representation.
A mixed mode is used to represent elements of such a group; utilising a polycyclic
presentation or a power-conjugate presentation for the elements of the normal subgroup,
and a permutation representation for the elements of the quotient.

Item Type:	Thesis (PhD)
Subjects:	Q Science > QA Mathematics
Library of Congress Subject Headings (LCSH):	Polycyclic groups
Official Date:	July 2011
Dates:	Date Event July 2011 Submitted
Institution:	University of Warwick
Theses Department:	Mathematics Institute
Thesis Type:	PhD
Publication Status:	Unpublished
Supervisor(s)/Advisor:	Holt, Derek F.
Sponsors:	University of Warwick
Extent:	xvi, 239 leaves
Language:	eng

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