... Clinic, Indiana Victor Elias, Child and Family Policy Center and Iowa Coalition Against Abusive Lending, Iowa Larry M McGuire, Minister, Community of Christ and Inter-Religious Council of Linn ... Anne Marie Regan and Rich Seckel, Kentucky Equal Justice Center Amy Shir, Kentucky Asset Building Coalition Debra Gardner, Public Justice Center, Maryland Charles Shafer, Maryland Consumer Rights ... Reconstructionist Federation Dory Rand, Woodstock Institute State Organizations Shay Farley, Alabama Appleseed Barbara Williams, Alaska Injured Workers Alliance Research and Development Corp Diane E...
... institutions and regional banks in Africa and Latin America and asked for advice and support with regard to institutional structure and development This was the launch of the intensive and sustainable ... savings, deposit and loan disbursement date and place, loan criteria and terms, collateral and guarantees, interest rates for general and emergency loans, penalties for late payment and infraction ... services The confusion between ‘credit groupsand ‘savings and credit groups originally derived from the donor assumption that people in Laos are too poor to save and therefore need revolving funds...
... Weyl groups 12.1 Hyperplanes, chambers, walls 12.2 Re ection groups are Coxeter groups 12.3 Root systems and nite re ection groups 12.4 A ne re ection groups, special vertices 12.5 A ne Weyl groups ... book describes the structure of the classical groups, meaning general linear groups, symplectic groups, and orthogonal groups, both over general elds and in ner detail over p-adic elds To this end, ... facts (1.9) about Coxeter groupsand their special subgroups imply that wi hTi i hT i if and only if Ti T and wi hT i Thus, we assume these containments for i = 2, and T is not allowed to be...
... command the student writes down the information that he has been asked to provide, folds the paper over to hide what he has written and passes it to the person on his right The next command is ... command is given and the procedure is repeated - When the work has finished, the students open them and, in writing, join the fragments of information together to make it more interesting and logical ... how good and useful the books are, the basic teaching techniques and supplementary activities are of significant importance to a writing lesson Depending on R Y E various teaching aims and situations...
... number N(n, 2) of subgroups of index n in a free group of rank is equal to n!ntn (see (1) below and [6]) On the other hand, a result of Comtet [4] (quoted in [8, page 48] and [7, Example 7.4]) ... Subgroups of finite index in free groups, Canad J Math (1949) 187– 190 [7] A.M Odlyzko, Asymptotic enumeration methods, in “Handbook of Combinatorics (Vol II)” (eds.: R.L Graham, M Gr¨tschel and ... group Y (Π1 ) contains an odd permutation and so we have gA (Π) = 1 |Y (Π)|2 = gS (Π) for Π = Π1 and gA (Π1 ) = gS (Π1 ) = 4 We also have gA (Π) = fA (Π ) and gS (Π) = Π ≥Π fS (Π ) Π ≥Π Since µ(Π1...
... Λ(a) = Λ(b) and π(a) = π(b) (iii) a, b ∈ Cν,τ are equivalent ⇔ Λ(a) = Λ(b), t(a) = t(b) and π(a) = π(b) Theorem 3.1 and Corollary 3.2 allow us to compute the number of Bn -orbits in Qnm and the cardinality ... · − n2m−2 (iii) Let ≤ ν ≤ m − 2, ≤ τ < 2ν , and ≤ e < 2m−1−ν , e ≡ (mod 2) Let n0 , , n2m−2 ∈ N and t > such that n0 + · · · + n2m−2 + t ≤ n − and min({ν2 (i) : ni > 0} ∪ {m − 2}) ≥ ν Then ... written as αi β j with ≤ i < N and ≤ j ≤ Clearly, equations (2.1) and (2.2), hence (2.3) – (2.6), also hold for DN In these equations, the only difference between DN and Q2m that affects the Hurwitz...
... (mod 3), and τ ≡ (mod 5), so τ = From (ii)(c), min{v3 (i1 ), , v3 (is ), 2} = and min{v5 (i1 ), , v5 (is ), 2} = 1, so we must have s = and v3 (is ) = v5 (is ) = 1; also, | E and | E, so ... ∈ Cν,τ , and u(a) = u(b) if | N Bn -orbits in Tuples of Dicyclic and Semidihedral Groups The results in the previous section can also be applied to classify the Bn -orbits in dicyclic groups, ... -orbits in dicyclic groups, which are closely related to dihedral groups The similarity between dihedral groupsand dicyclic groups can be seen from the presentation of the dicyclic group Dic...
... proved long standing Hall-Paige conjecture (Evans [10], Wilcox [24], and Wilcox, Evans and Bray [6], New results) The Hall-Paige conjecture [15] concerns complete mappings of finite groups, and states ... Designs over 2 -groups and other families of groups Firstly we show Conjecture holds for all semi-dihedral groups Then, in our main result we show that Conjecture holds for all 2 -groups Finally ... Combe and W.D Palmer, Bhaskar Rao designs and the dihedral groups, J Combin Theory Ser A 106 (2004), 145–157 [4] R.J.R Abel, F.E Bennett and M Greig, PBD-closure, pp 247–254 in: The CRC Handbook...
... Tables and provide correlations between risk factors and level of offending for each of the three groups First, the common correlations will be van Domburgh et al Child and Adolescent Psychiatry and ... contact from distinct sociodemographic and ethnic groups Child and Adolescent Psychiatry and Mental Health 2011 5:22 Submit your next manuscript to BioMed Central and take full advantage of: • Convenient ... consistency of the scale for both parent and child report is good (a = 81 and 72) [29] Reactive and proactive aggression were measured with the Reactive and Proactive Questionnaire (RPQ) [31,32]...
... patience, and belief in me; my parents Oliver and Deborah for their unconditional support in letting me it my way and for teaching me so much over the past twenty nine years; my sister Tanya and the ... k-forms of reductive groups defined over non algebraically closed fields In the following we will call k-forms of these reductive groups: reductive k -groups For reductive k -groups there is an additional ... maximal k-torus T and the root system and Weyl group of the maximal k-split torus A can be identified with the projection of the root system of T to A and similarly the Weyl groups can be identified...
... such diol systems and ``cyclic acetals'' were the obvious answer The benzylidene and isopropylidene acetal groups stand (almost) alone as two prodigious protecting groups of diols and some general ... materials for the synthesis of disaccharides and higher oligomers and owe their popularity to the Synthesis and Protecting Groups 59 ease of preparation and handling:65,66 OAc OAc O AcO AcO O CH3CH2SH ... (1996) Protecting groups in oligosaccharide synthesis, in Modern Methods in Carbohydrate Synthesis, Khan, S H and O'Neill, R A eds., Harwood Academic, Netherlands, p 225 Esters and Ethers The primary...
... bi-∆ -groups The sequence G1 → G2 → G3 is exact if and only if the sequence of graded groups ZG1 → ZG2 → ZG3 is exact 34 Homotopy Braid Groupsand the Automorphism Group of Reduced Free Groups ... Braid Groups 61 vi 2.5 Application: Residue Finiteness of Homotopy Braid Groups On Carnot Algebras of Groups 67 68 3.1 Carnot Algebras of Pure Briad Groups 68 3.2 Carnot Algebras of Reduced Free Groups ... concept of homotopy, isotopy and ambient isotopy will be useful in the geometric definition of braid groups 10 Definition Let X and Y be topological spaces and let f and g be continuous maps from...
... Shaja Khan Abdul Kassim, Tan Lye Heng, and Wong Chew Yuen They always warmly and kindly extend their helping hands whenever needed and I enjoy brotherly and sisterly relationship with them which ... used empirical and analytical formulas for the calculation of dragload for pile groups Numerical analyses on single piles and pile groups subjected to NSF using both axisymmetric and 3D Finite ... side pile and (c) inner pile within pile groups 214 Figure 5.10 Variation of averaged dragloads and group factors with number of piles within (a) end-bearing; and (b) socketed pile groups 215...
... X-ray, radio, and nearinfrared (NIR) For the X-ray analysis, the Chandra data was used to extract temperature and density profiles and constrain the central cooling time (CCT) and central entropy; ... with a focused look into the Chandra X-ray telescope, and a brief overview of eROSITA Chapter discusses ICM cooling, AGN feedback and BCG properties of galaxy groupsand results thereof Chapter ... Throughout this dissertation, important similarities and differences between galaxy clusters andgroups will be highlighted and explained as and when relevant 2.2 Cluster galaxies When observed...
... Analytic Groups Definition of analytic groups Elementary examples of analytic groups Group chunks Prolongation of subgroup chunks Homogeneous spaces and orbits Formal groups: definition and elementary ... and elementary examples Formal groups: formulae Formal groups over a complete valuation ring Filtrations on standard groups Exercises Appendix Maximal compact subgroups of GL(n,k) Appendix Some ... ezi~t a &emuimple s and a nilpotent n in End V &uch that sn = ns and u = s + n, and sAnd n are uniquel, determined by the&e conditionl Moreover, there ezut polynomial.! Sand N (depending on u)...