๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Finding Intersections and Normalizers in Finitely Generated Nilpotent Groups

โœ Scribed by E.H. LO

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
475 KB
Volume
25
Category
Article
ISSN
0747-7171

No coin nor oath required. For personal study only.

โœฆ Synopsis

We present algorithms for computing intersections, normalizers and subgroup products of subgroups in finitely generated nilpotent groups given by nilpotent presentations. The problems are reduced to solving for certain minimal solutions in linear Diophantine equations over the integers. Performance of the algorithm using a Mathematica implementation is demonstrated.

๐Ÿ“œ SIMILAR VOLUMES

A Probabilistic Approach Toward Conjugac
A Probabilistic Approach Toward Conjugacy Classes in the Finite General Linear and Unitary Groups
โœ Jason Fulman ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 205 KB

The conjugacy classes of the finite general linear and unitary groups are used to define probability measures on the set of all partitions of all natural numbers. Probabilistic algorithms for growing random partitions according to these measures are obtained. These algorithms are applied to prove gr