Genus of congruence subgroups of the modular group

... to the genus of H∗ /G as the genus of G and denote it by g(G) Lemma 2.39 Let A be a subgroup of finite index in B, where A and B are subgroups of P SL2 (Z) Suppose the genus of B, g(B) = Then the ... inequivalent elliptic subgroups of order of G, v3 = the number of inequivalent elliptic subgroups of order of G, v∞ = the number of inequivalent cusp...

Ngày tải lên: 07/10/2015, 10:02

... techniques in to the audit of CAG of India within the framework of the existing mandate.  The Group deliberated  the issue  of positioning  of social audit within  the three  basic  categorisations of audit viz. financial, compliance and performance audits as its own distinct  ...   Page | 4  Report of the Task Group on Social Audit 5.2 Limitations of Social Audit While  social audi...

Ngày tải lên: 15/03/2014, 20:20

... downshift of the 4C¼O stretching vibration of QA by  60 cm)1 [10,11], indicating strong asymmetric binding of UQ10 at the QA site, in contrast to symmetric, weaker binding of UQ10 at the QB site ... assigned to C(5) and C(6) methoxy vibrations of UQ10 at the QB binding site This is in agreement with the assignment of the methoxy vibrations o...

Ngày tải lên: 23/03/2014, 21:20

... Write a Marketing Plan By Peter C Geisheker, CEO, The Geisheker Group, Inc www .geisheker. com Behind every successful product or service is a well-researched marketing plan A marketing plan guides ... http://www.facebook.com /geisheker LinkedIn: http://www.linkedin.com/in /geisheker Peter s Marketing Blog: http://www .geisheker. com/blog/ Copyright © 2008, The...

Ngày tải lên: 28/06/2014, 19:20

Ngày tải lên: 05/08/2014, 10:20

Ngày tải lên: 05/08/2014, 10:20

... 100214894 - - 9502923 - Theorem 2.2 The Rudvalis group Ru is pX-complementary generated, if p is an odd prime divisor of |Ru| nX -Complementary Generations of the Rudvalis Group Ru Proof By Woldar’s ... nX-complementary generations of the Rudvalis group Ru We will use the maximal subgroups of Ru listed in the ATLAS extensively, especially those with...

Ngày tải lên: 06/08/2014, 04:21

... denotes, as usual, the height of the rim hook And the sign of T is defined as the product of the signs of the rim hooks of T , see [2, Section 2], [5, Ex I.6.4] for details Then 3.2 Theorem (E˜ecio˜lu, ... Since the sum of the entries of any column of the inverse Kostka matrix (with the obvious exception of the first one) is zero, then it follows 3.5 Coro...

Ngày tải lên: 07/08/2014, 06:20

... Here, A is a product of fractions of the form ppsrd a for all a relatively prime to p Since d a the numerator and denominator of each of these fractions are units in Z/(ps ), all the fractions are ... papers, the dimension of the homology of the null chain is In that case, the character is (−1)r+1 times the M¨bius function The sign depends on this o Th...

Ngày tải lên: 07/08/2014, 06:20

... this fascinating topic through the study of of a nice overspace The Hyperoctahedral group Bn The hyperoctahedral group Bn is the group of signed permutations of the set [n] := {1, 2, , n} More ... groups, followed with implications regarding the tensor square of these same spaces We then specialize our discussion to hyperoctahedral groups, recalling in the...

Ngày tải lên: 07/08/2014, 13:21

... involution of Xn Proof We can describe the action of ι as follows: If there are a boxes between the left and right balls of v, then the left balls of v and ι(v) are in the same positions, and there ... neighbors of v = {i, j} There are j − i such neighbors In all of them the right ball is in the same position as that of v (so there are n − j boxes to the right of...

Ngày tải lên: 07/08/2014, 15:22

... radicals of rational parabolic subgroups of the finite general linear groups GLn (Fq ); the group Un is the pattern group corresponding to the total order < < < · · · < n The group UP acts on the Fq ... on the elements of S ∨ We call S ∨ the set of superclasses and S the set of supercharacters Note that every group has two trivial supercharacter theori...

Ngày tải lên: 07/08/2014, 21:21

... are indexed by a subset J ⊂ I, retaining the original relations The Dynkin diagram of the corresponding object is obtained by deleting the relevant nodes and connecting edges from the original ... automorphism of the underlying graph of a Dynkin diagram induces an automorphism of the Hecke algebra For the Dynkin diagram of SN , there is exactly one non-trivial au...

Ngày tải lên: 08/08/2014, 12:23