Engineering↗
Cosets, Subgroup Index and Finite-Group Divisibility
Handbook guide to cosets, subgroup index and finite-group divisibility, covering definitions, key results, methods, verification checks and worked examples.
Tag
index
Every page in the KEVOS library tagged index. 8 pages.
Engineering↗
Subgroups, Direct Products, Cosets and Finite-Group Counting
Handbook treatment of subgroup tests, direct products, coset partitions and the divisibility relation between subgroup and group orders.
Engineering↗
Discriminants and Integral Bases
The discriminant of a basis, the field discriminant, and the index-squared relation that governs maximal order computation.
Engineering↗
Essential Discriminant Divisors
Primes that divide the index for every choice of defining polynomial, why they exist, and what they force computationally.
Engineering↗
Ideal Norm Computation
The norm of an ideal as its index in the order, its multiplicativity, and its use as a size measure and consistency check.
Engineering↗
Orders in Number Fields
Orders as subrings that are full-rank lattices, the equation order, the maximal order, and the index that separates them.
Engineering↗
Prime Decomposition when p Does Not Divide the Index
Decomposing a prime that does not divide the index, by factoring the defining polynomial modulo that prime.
Engineering↗
The Dedekind Criterion for p-Maximality
A cheap modular test deciding whether an order is maximal at a given prime, without computing the maximal order.
Related
Other tags in the library.
mathematics 387
abstract algebra 252
Machine Design 184
business 179
project management 158
Computational Number Theory 123
algebra handbook 85
graduate mathematics 85
handbook 79
templates and examples 78
History of Engineering 77
Manufacturing 76
algebra and trigonometry 74
universal algebra 62
algebra 60
project delivery 60
principles of project management 58
advanced algebra 53
Fasteners and Joints 53
Civil Engineering 48
CAD 42
Context and scope 42
Machine Elements 40
Threading and Gaging 37
Mechanical Engineering 35
Power Transmission 34
template 34
Operational Excellence 32
example 31
project leadership 31
project teams 31
strategy 31
Business Expansion 29
Metrology 29
project management research 29
Sales & Marketing 29
personal development 27
behaviour change 26
habits 26
systems 26