Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 9 of 9 for “"nilpotent groups"”.
-
Unification and equation solving in nilpotent groups and monoids
… and equation solving have been considered for groups [44], semigroups [43], abelian groups [39] and abelian semigroups [25], [33], [68], [69]. In this thesis we consider partially commutative groups and monoids. Nilpotency provides us with a partial commutativity condition in the case of …
-
On the topological entropy of nilpotent groups of finite rank
… of periodic locally compact Heisenberg p-groups (p prime). These are relevant models of locally compact nilpotent groups and their structure may be described very well by semidirect products. Firstly, we consider the class of locally compact abelian groups that are compactly generated; we …
-
On the Classification of Finite Elementary Nilpotent Groups of Class 2
Made available in DSpace on 2014-12-05T21:50:05Z (GMT). No. of bitstreams: 1 0015204.pdf: 1756791 bytes, checksum: b4463c2d77a1941b8e81dce584f9831f (MD5) Previous issue date: 1955
-
Variations on the Theme of Higher Dimensional Weisfeiler-Leman Algorithms
… of the Weisfeiler-Leman algorithms on finite groups. Whilst hinting at potential conditions required to construct families of 2-nilpotent groups with high Weisfeiler-Leman dimension, we also show that the class of 2-nilpotent groups generated by trees has low Weisfeiler-Leman dimension. This …
-
A class of groups rich in finite quotients
If X is a class of groups, the class of counter-X groups is defined to consist of all groups having no non-trivial X-quotients. Counter-counter-finite groups are studied here; any non-trivial quotient of such a group has a non-trivial representation over any finitely generated domain, so we shall …
-
Central extensions of divisible groups
… of central extensions of divisible groups with finite abelian quotient, so called ``d-ab extensions.'' We give a matrix classification of equivalence classes of d-ab extensions and explicitly provide a family of group presentations. We provide a criterion for determining when two …
-
Applications of abelian algebraic structures in quantum computation
… computers to solve problems defined on abelian groups. In this thesis, we study ways in which that ability can be leveraged in order to solve problems on more complex structures such as non-abelian groups and hypergroups. This leads to new quantum algorithms for the hidden subgroup problem on …
-
Subnormal Structure of Finite Soluble Groups
… the intersection of normalizers of subnormal subgroups, is non-trivial in any finite group and thus gives rise to a series whose length is a measure of the complexity of a group's subnormal structure. Another measure, akin to the nilpotency class of nilpotent groups, arises from the strong …
-
Subnormal Structure of Finite Soluble Groups
… the intersection of normalizers of subnormal subgroups, is non-trivial in any finite group and thus gives rise to a series whose length is a measure of the complexity of a group's subnormal structure. Another measure, akin to the nilpotency class of nilpotent groups, arises from the strong …