نتایج جستجو برای: subgroup lattice

تعداد نتایج: 178211  

2005
VLADIMIR L. POPOV YURI G. ZARHIN

Let V be a finite dimensional complex linear space and let G be an irreducible finite subgroup of GL(V ). For a G-invariant lattice Λ in V of maximal rank, we give a description of structure of the complex torus V/Λ. In particular, we prove that for a wide class of groups, V/Λ is isogenous to a self-product of an elliptic curve, and that in many cases V/Λ is isomorphic to a product of mutually ...

2006
Jae-Hyun Yang JAE-HYUN YANG

This Heisenberg group is a 2-step nilpotent Lie group and is important in the study of toroidal compactifications of Siegel moduli spaces. In fact, H (g,h) R is obtained as the unipotent radical of the parabolic subgroup of Sp(g+h,R) associated with the rational boundary component Fg ( cf. [F-C] p. 123 or [N] p. 21 ). For the motivation of the study of this Heisenberg group we refer to [Y4]-[Y8...

2008
V. Gritsenko

We study the commutator subgroup of integral orthogonal groups belonging to indefinite quadratic forms. We show that the index of this commutator is 2 for many groups that occur in the construction of moduli spaces in algebraic geometry, in particular the moduli of K3 surfaces. We give applications to modular forms and to computing the fundamental groups of some moduli spaces. Many moduli space...

Journal: :Groups, Geometry, and Dynamics 2015

Journal: :iranian journal of fuzzy systems 2013
hui han jinming fang

in this paper, our purpose is twofold. firstly, the tensor andresiduum operations on $l-$nested systems are introduced under thecondition of complete residuated lattice. then we show that$l-$nested systems form a complete residuated lattice, which isprecisely the classical isomorphic object of complete residuatedpower set lattice. thus the new representation theorem of$l-$subsets on complete re...

Abstract. A subgroup H of a group G is said to be SS-embedded in G if there exists a normal subgroup T of G such that HT is subnormal in G and H T H sG , where H sG is the maximal s- permutable subgroup of G contained in H. We say that a subgroup H is an SS-normal subgroup in G if there exists a normal subgroup T of G such that G = HT and H T H SS , where H SS is an SS-embedded subgroup of ...

Journal: :International Mathematics Research Notices 2022

Abstract We study local models that describe the singularities of Shimura varieties non-PEL type for orthogonal groups at primes where level subgroup is given by stabilizer a single lattice. In particular, we use Pappas–Zhu construction and give explicit equations an open subset around “worst” point These display affine chart model as hypersurface in determinantal scheme. Using this, prove spec...

Journal: :Communications in Algebra 2023

Let o(G) be the average of element orders a finite group G. A research topic concerning this quantity is understanding relation between and o(H), where H subgroup N class nilpotent groups let L(G) lattice In paper, we show that set {o(G)o(H) | G∈N,H∈L(G)} dense in [0,∞). Other density results are outlined throughout paper.

Journal: :IOP Conference Series: Earth and Environmental Science 2020

Journal: :international journal of group theory 2013
tao zhao

we call $h$ an $ss$-embedded subgroup of $g$ if there exists a‎ ‎normal subgroup $t$ of $g$ such that $ht$ is subnormal in $g$ and‎ ‎$hcap tleq h_{sg}$‎, ‎where $h_{sg}$ is the maximal $s$-permutable‎ ‎subgroup of $g$ contained in $h$‎. ‎in this paper‎, ‎we investigate the‎ ‎influence of some $ss$-embedded subgroups on the structure of a‎ ‎finite group $g$‎. ‎some new results were obtained.

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