Let H be a subgroup of a group G,x ∈; G. The set xH is called a right coset of H in G, and Hx is called a left coset of H in G. If G is written as the union of its mutually disjoint right cosets of H: 1...
The point is to better understand symmetry groups. If we can recognize an object's symmetry group as having been built out of smaller groups, then this realization might help us to much more clearly understand its underlying algebraic structure....
摘要: We give an improved bound for the order of a p-group enjoying the title property. We also point out relations between the upper central series of a p-group and of its maximal subgroups.(Received December 14 1992)DOI: 10.1017/S1446788700038556 年份: 1995 ...
Groups whose proper subgroups are (locally finite)-by-(locally nilpotent) If X is a class of groups, then a group G is called a minimal non-Xgroup if it is not an X-group but all its proper subgroups belong to X. Let pi be a set of primes and let X be a quotient and subgroup...
On weakly H-subgroups and p-nilpotency of finite groups Let G be a finite group and H a subgroup of G. We Qiao,Shouhong,Li,... - 《Journal of Algebra & Its Applications》 被引量: 0发表: 2017年 Influence of strongly closed 2-subgroups on the structure of finite groups Let $H\\le...
G-Covering Systems of Subgroups for Classes of p-Supersoluble and p-Nilpotent Finite Groups Let $F$ be a class of groups. Given a group G , assign to G some set of its subgroups Σ=Σ( G ). We say that Σ is a G -covering system of subgroups ... W Guo,KP Shum,AN Skiba -...
When you delete a group, you permanently remove the group and all of its subgroups from the user store. You must re-create all of the affected groups if you want to use them again. If you delete a group, the users that belong to the group are not deleted....
N.: Finite groups with given systems of σ-semipermutable subgroups. J. ... B Hu,J Huang,AN Skiba - 《Journal of Algebra & Its Applications》 被引量: 3发表: 2017年 The Structure of Finite Groups with Some σ-properties of Subgroups and Nearly SΦ-normal Subgroups In this Ph.D ...
The Haagerup property, Property (T) and the Baum-Connes conjecture for locally compact Kac-Moody groups We indicate which symmetrizable locally compact affine or hyperbolic Kac-Moody groups satisfy Kazhdan's Property (T), and those that satisfy its strong negation, the Haagerup property. This reve...
Ya. G. Berkovich, “The structure of a group and the structure of its subgroups,” Dokl. Akad. Nauk SSSR,179, 13–16 (1968). Google Scholar I. Schur, “Untersuchungen uber die Darstellung der endlichen Gruppen durch gebrochene lineare Substitutionen,” J. Reine Angew. Math.,132, 85...