10 ENGLISH BOOKS RELATING TO «SUBGROUP»
Discover the use of
subgroup in the following bibliographical selection. Books relating to
subgroup and brief extracts from same to provide context of its use in English literature.
1
Subgroup Lattices of Groups
The central theme of this volume is the relation between the structure of a group and the structure of its lattice of subgroups.
In the last two decades this topic has developed into one of the most active areas of research in infinite group theory; this book is a systematic and comprehensive account of the substantial theory which has emerged.
Alexander Lubotzky, Dan Segal, 2003
Exercise 1.1.14 (The subgroup lattice of D12). Draw the subgroup diagram for the
full subgroup lattice L(G) of the dihedral group G := D12 of order 12. This more
complicated diagram combines various features from the previous two examples:
...
4
Contemporary Abstract Algebra
Let G be a finite group and let H be a normal subgroup of G. Prove that the order
of the element gH in G/H must divide the order of g in G. 38. Let H be a normal
subgroup of G and let a belong to G. If the element aH has order 3 in the group G/
H ...
5
The Congruence
Subgroup Problem: An Elementary Approach ...
This is an elementary introduction to the congruence subgroup problem, a problem which deals with number theoretic properties of groups defined arithmetically.
6
Partially Ordered Abelian Groups with Interpolation
Discrete States. One factor influencing the behavior of a state s on a partially
ordered abelian group (G, u) with order-unit is its image s(G), which is an additive
subgroup of R. As the following lemma shows, there are two very different types
of ...
Kenneth R. Goodearl, 2010
7
The Fundamental Lemma for the Shalika
Subgroup of GL(4)
The Shalika Subgroup H of GL(4): Relevant Double Cosets and Kloosterman
Integrals (2.1) For convenience, let us write H instead of H(K) for the Shalika
subgroup of GL(4,K): H=ji9 \fk 9 J \X I, g£GL(2,K),X£M2x2(K)\ If B is a Borel
subgroup of ...
Solomon Friedberg, Hervé Jacquet, 1996
8
Groups: An Introduction to Ideas and Methods of the Theory ...
How many groups of a given type are there, and how can they be described? Hölder’s program for attacking this problem in the case of finite groups is a sort of leitmotiv throughout the text.
9
Introduction to the Galois Correspondence
Let H be a 5-Sylow subgroup of G (of order 25) and K a 7-Sylow subgroup (of
order 7). Since the number of 7-Sylow subgroups divides 175 and is congruent to
1 modulo 5, there is only one 7-Sylow subgroup of G and hence H is a normal ...
10
Vibrational Spectroscopy: Theory And Applications
3.7 SUBGROUPS AND ISOMORPHIC GROUPS We noted previously that a
subgroup is a subset of elements of a group forming a group of smaller order. On
the other hand, if the addition of a symmetry element to an existing group
produces a ...
D. N. Sathyanarayana, 2007
10 NEWS ITEMS WHICH INCLUDE THE TERM «SUBGROUP»
Find out what the national and international press are talking about and how the term
subgroup is used in the context of the following news items.
Clinical trials: Subgroup analyses in randomized trials—more rigour …
Zhang and colleagues explored the use of subgroup analyses in 221 phase III trials in oncology, focusing on trials investigating patients with solid tumours, with ... «Nature.com, Jul 15»
Elevated peripheral cytokines characterize a subgroup of people …
We aimed to determine the extent to which elevated peripheral cytokine messenger RNA (mRNA) expression: (1) characterizes a subgroup of people with ... «Nature.com, Jul 15»
Poroshenko suggests setting up Minsk subgroup for Ukrainian …
Ukraine will insist on the Special Monitoring Mission of the Organization for Security and Co-operation in Europe (OSCE, SMM) being provided unimpeded ... «Kyiv Post, Jul 15»
TOTAL Breakdown: Thrombus Aspiration Subgroup Analyses
Robert A. Byrne, MB, BCh, PhD: Hello. My name is Robert Byrne, from the Deutsches Herzzentrum Center in Munich. We're here at EuroPCR 2015 in Paris. «Medscape, Jul 15»
Relating plaque morphology to respiratory syncytial virus subgroup …
Viral culture plaque morphology in human cell lines are markers for growth capability and cytopathic effect, and have been used to assess viral fitness and select ... «Nature.com, Jun 15»
Rethink job legislation, says G-20 subgroup
GOVERNMENTS should end regulatory inconsistencies that often hamper job-creation efforts, businesses in the Group of 20 (G-20) rich and developing nations ... «BDlive, Jun 15»
Panobinostat PFS Benefit Extended in PANORAMA-1 Subgroup …
The addition of panobinostat (Farydak) to bortezomib (Velcade) and dexamethasone improved progression-free survival (PFS) by 7.8 months in a subgroup of ... «OncLive, Jun 15»
Novartis data at EHA show increased PFS benefit of Farydak® in …
The analysis showed that in this subgroup, median PFS increased to 12.5 months ... In the exploratory study presented at EHA, a subgroup of 147 patients with ... «MarketWatch, Jun 15»
Subgroup Responds to Rontalizumab in Lupus
Rontalizumab, an investigational biologic targeting interferon-alpha failed to meet efficacy criteria in an SLE trial, but showed benefits for a subgroup of patients ... «MedPage Today, Jun 15»
Dear Education Data Geeks: Stop Obsessing Over Subgroup Analyses
One of the most recognized features of No Child Left Behind is subgroup analysis, which shifted attention from the average performance of a school to the ... «EdSurge, Jun 15»
