In order to determine the occurrence of endometriosis in patients with uterine myoma and in those with polycystic ovarian disease (PCOD) compared to controls, 540 infertile patients were fIrst divided into two age groups of 20-29 and 30-39. Then each group was subdivided to patients with 1) uterine myoma, 2) PCOD, and 3) no uterine myoma or PCOD (control subgroup). The occurrence of endomet...

Given a fixed integer n, we consider closed subgroups G of GLn(Zp), where p is sufficiently large in terms of n. Assuming that the Zariski closure of G in GLn has no toric part, we give a condition on the (mod p) reduction of G which guarantees that G is of bounded index in GLn(Zp) ∩ G(Qp). In [No], Nori considered a special class of subgroups of GLn(Fp), namely groups which are generated by el...

We examine the relation between twisted versions of the extended supersymmetric gauge theories and supersymmetric orbifold lattices. In particular, for the N = 4 SYM in d = 4, we show that the continuum limit of orbifold lattice reproduces the twist introduced by Marcus, and the examples at lower dimensions are usually Blau-Thompson type. The orbifold lattice point group symmetry is a subgroup ...

We introduce a new method to compute explicit formulae for various zeta functions associated to groups and rings. The specific form of these formulae enables us to deduce local functional equations. More precisely, we prove local functional equations for the subring zeta functions associated to rings, the subgroup, conjugacy and representation zeta functions of finitely generated, torsion-free ...

Nilpotent injectors have the property that they contain every nilpotent subgroup that they normalize. A. Bialostocki has conjectured [4] that if G is a finite group then all nilpotent injectors of G are conjugate. He has verified his conjecture for the symmetric and alternating groups. The conjecture is also true for soluble groups. The only property of soluble groups used in proving this is C(...

An MC group is a group in which all chains of centralizers have finite length. In this article, we show that every nilpotent subgroup of an MC group is contained in a definable subgroup which is nilpotent of the same nilpotence class. Definitions are uniform when the lengths of chains are bounded.

Let O be a nilpotent orbit in the Lie algebra n( ) and let V be an orbital variety contained in O. Let P be the largest parabolic subgroup of SL(n, ) stabilizing V. We describe nilpotent orbits such that all the orbital varieties in them have a dense P orbit and show that for n big enough the majority of nilpotent orbits do not fulfill this. Résumé Soit O une orbite nilpotente dans l’algèbre de...

Introduction: Smell Identification Tests (SIT) are routinely utilized for the clinical evaluation of olfactory function. Since Iran consists of various ethnic subgroups, the reliability and validity of this test as a national SIT are required to be evaluated across the country.   Materials and Methods: This cross-sectio...

Among other things, we prove that the group of automorphisms fixing every normal subgroup of a (nilpotent of class c)-by-abelian group is (nilpotent of class ≤ c)-by-metabelian. In particular, the group of automorphisms fixing every normal subgroup of a metabelian group is soluble of derived length at most 3. An example shows that this bound cannot be improved.

‎for a finite group $g$ let $nu(g)$ denote the number of conjugacy classes of non-normal subgroups of $g$‎. ‎the aim of this paper is to classify all the non-nilpotent groups with $nu(g)=3$‎.