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On C|section and C|index of finite groups


On C-section and C-index of finite groups - ScienceDirect

For each chief factor K/L of G such that L≤M and G=MK, we called the group M∩K/L a c-section of M in G. All c-sections of M are isomorphic. Using the concept of ...

On C-section and C-index of finite groups - CORE

Abstract. Let G be a finite group and let M be a maximal subgroup of G. For each chief factor K=L of G such that L ≤ M and G=MK, we called the group M ∩K=L ...

On C-section and C-index of finite groups | Request PDF

Request PDF | On C-section and C-index of finite groups | Let G be a finite group and let M be a maximal subgroup of G. For each chief factor K/L of G such ...

algebras and Actions of Finite Groups on C - University of Oregon

Motivation: Representation theory (brief comments below). N. C. Phillips (U of Oregon). Group C*-Algebras, Actions of Finite Groups. 11 July ...

On c-normal subgroups of some classes of finite groups (Chapter 26)

A subgroup H is called c-normal in a group G if there exists a normal subgroup N of G such that HN = G and H ∩ N ≤ HG, where HG ≕ Core(H) is the maximal normal ...

[2206.14799] On $c$-embedded subgroups of finite groups - arXiv

Given a finite group G, a prime number p and a Sylow p-subgroup P of G, we investigate the structure of G under the assumption that N_G(P) is p- ...

A⊕C≅B⊕C. Is A≅B when C is finite, A and B infinite.

Yes, this is true. A group C is cancellable if A×C≅B×C⇒A≅B. Hence, the result you are after is "finite groups are cancellable".

ACTIONS OF FINITE GROUPS ON C*-ALGEBRAS - JSTOR

subset of G closed under taking inverses and conjugating by elements of G, but need not be closed under products. The main theorem of this section is an.

c-Sections of Maximal Subgroups of Finite Groups - ScienceDirect.com

Let G be a finite group and let M be a maximal subgroup of G. Let K/L be a chief factor of G such that L ≤ M and G = MK. We call the group M ∪ K/L a ...

On the normal index and the c-section of maximal subgroups of a ...

... index and c -section, we obtain characterizations for finite groups of the solvable, p -supersolvable and supersolvable groups.

what are all the finite subgroups of C* under multiplication? - Reddit

i have a feeling it would just be the groups of nth roots of unity but have not found any confirmation when googling. and the fact that R* ...

On C - H -Permutable Subgroups of Finite Groups - SpringerLink

A set H of subgroups of G is a complete Hall σ -set of G if every nonidentity member of H is a Hall σ i -subgroup of G for some i ∈ I and H ...

On the normal index and the c-section of maximal subgroups of a ...

Abstract Let M be a maximal subgroup of a finite group G. The order of a chief factor H/K such that H is a minimal supplement to M in G is called the normal ...

Full article: A Note on c-Supplemented Subgroups of Finite Groups

A subgroup H of a finite group G is said to be c-supplemented in G if there exists a subgroup K of G such that G = HK and H ∩ K is contained in ...

On just-infiniteness of locally finite groups and their C*-algebras - arXiv

Abstract:We give a construction of a family of locally finite residually finite groups with just-infinite C*-algebra. This answers a ...

c-SECTIONS, SOLVABILITY AND LARGE SUBGROUPS OF FINITE ...

In this paper we prove that if for each maximal subgroup of a finite group G, the corresponding c-section order is smaller than the index of the maximal ...

C-Sections, solvability and large subgroups of finite groups

In this paper we prove that if for each maximal subgroup of a finite group G, the corresponding c-section order is smaller than the index of the maximal ...

On c*-normal subgroups in finite groups - SpringerLink

In this paper, the structure of a finite group G with some c*-normal maximal subgroups of Sylow subgroups is characterized and some known ...

gr.group theory - Finite subgroups of GL_n(C) - MathOverflow

The paper: Herzog, Marcel; Praeger, Cheryl E. "On the order of linear groups of fixed finite exponent." J. Algebra 43 (1976), no.

On c-Normal Subgroups of Finite Groups - Taylor & Francis Online

We use to denote the class of all supersoluble groups. Following Wang (Citation1995), we say that a subgroup H of a group G is c-normal in G if there exists ...