Projective Representations of Abelian Groups

Projective Representations of Abelian Groups - ScienceDirect.com

We show how to construct an irreducible projective representation of G with 2-cocycle in the cohomology class of α.

PROJECTIVE REPRESENTATIONS OF ABELIAN GROUPS

PROJECTIVE REPRESENTATIONS OF ABELIAN GROUPS. A. O. MORRIS. Let G be a finite Abelian group of order nm generated by m elements glt ...,gm of order n, i.e. C ...

PROJECTIVE REPRESENTATIONS OF ABELIAN GROUPS 260

Let co be a factor system for the locally compact abelian group G. Then we show that the finite-dimensional unitary irreducible projective representations of G, ...

Projective Representations of Abelian Groups - ScienceDirect.com

w x irreducible projective representation of G with 2-cocycle ␤ g ␣ . In Section 3 we consider an elementary abelian p-group G. We start by. w x recalling some ...

Projective representations of a finite abelian group - MathOverflow

Projective representations of a finite abelian group · gr.group-theory · finite-groups · group-cohomology · abelian-groups.

Projective Representations of Finite Abelian Groups with Applications

A finite Abelian group C is of hyperbolic type it admits a factorization C = C 1 × C 2, where C 1 and C 2 are cyclic p-groups of the same order, ...

Some projective representations of finite abelian groups

SOME PROJECTIVE REPRESENTATIONS OF. FINITE ABELIAN GROUPS by A. O. MORRIS, M. SAEED-UL-ISLAM and E. THOMAS. (Received 19 January, 1986).

Some projective representations of finite abelian groups

Some projective representations of finite abelian groups - Volume 29 Issue 2.

[PDF] Projective representations of abelian groups - Semantic Scholar

Let co be a factor system for the locally compact abelian group G. Then we show that the finite-dimensional unitary irreducible projective representations ...

Projective representations of groups - Alistair Savage

Cohomology groups. Throughout this subsection, let G be an arbitrary group and. M an abelian group. In groups cohomology studies, there exists a more general ...

Exact projective representations of Abelian groups - SpringerLink

A complete description of the finite Abelian groups having exact irreducible projective representations over a field F comprising a finite extension of the ...

(PDF) Projective Representations of Abelian Groups - ResearchGate

Abstract · 1. Let the matrix G which represents co be in lower triangular form with · 2. If A^ is the least common multiple of the N¡/s, then A ...

Projective Representations of finite abelian groups

Let A be a finite abelian group, k an algebraically closed field of characteristic 0 and ϕ a 2-cocycle on A with value in k.

On projective representations on finite abelian group

The study of the schur multipliers of abelian groups is the first step in the studying of the projective representations of such groups.

SYMPLECTIC GEOMETRIC AND PROJECTIVE ...

In the paper one studies faithful projective representations of finite abelian groups over an algebraically closed field whose characteristic is not a divisor ...

On the Form of the Finite-Dimensional Projective Representations of ...

If the locally compact abelian group G has a finite- dimensional unitary irreducible projective representation with factor system w (i.e. G has an co-rep), then ...

Projective representation - Wikipedia

In the field of representation theory in mathematics, a projective representation of a group G on a vector space V over a field F is a group homomorphism ...

Projective Representations of Abelian Groups - Amanote Research

Projective Representations of Abelian Groups by N. B. Backhouse, C. J. Bradley published in Proceedings of the American Mathematical Society.

METABELIAN GROUPS WITH AN IRREDUCIBLE PROJECTIVE ...

Conversely, if G is abelian and T* is a faithful irreducible projective representation then T*(l)2 = [G: 1]. We study metabelian groups G admitting an ...

Phase Retrievable Projective Representation Frames for Finite ...

Consequently the complement of the set of all the maximal span frame vectors for any projective unitary representation of any finite abelian group is Zariski- ...