[PDF][PDF] Schur indices and splitting fields of the unitary reflection groups
M Benard - Journal of Algebra, 1976 - core.ac.uk
The concept of a reflection in Euclidean space was generalized by Shephard [16]. A
reflection in unitary space is a linear transformation of finite period with the property that all …
reflection in unitary space is a linear transformation of finite period with the property that all …
The computations of some Schur indices
W Feit - Israel Journal of Mathematics, 1983 - Springer
Let χ be an irreducible character of a finite group G. Let p=∞ or a prime. Let mp (χ) denote
the Schur index of χ over Q p, the completion of Q at p. It is shown that if x is ap′-element of …
the Schur index of χ over Q p, the completion of Q at p. It is shown that if x is ap′-element of …
[PDF][PDF] Classification of finite subgroups of 2× 2 matrices over a division algebra of characteristic zero
B Banieqbal - Journal of Algebra, 1988 - core.ac.uk
The aim of the present paper is a complete classification of the finite groups G which can be
embedded in M,(D) x for some division algebra D. We will make the assumption that G is …
embedded in M,(D) x for some division algebra D. We will make the assumption that G is …
[PDF][PDF] Schur indices of some groups of Lie type
R Gow - Journal of Algebra, 1976 - core.ac.uk
The representation theory of groups of Lie type has been investigated in several research
papers recently, with much attention being directed towards the computation of constituents …
papers recently, with much attention being directed towards the computation of constituents …
Superelliptic jacobians and central simple representations
YG Zarhin - arXiv preprint arXiv:2305.12022, 2023 - arxiv.org
Let f (x) be a polynomial of degree at least 5 with complex coefficients and without repeated
roots. Let p be an odd prime. Suppose that all the coefficients of f (x) lie in a subfield K such …
roots. Let p be an odd prime. Suppose that all the coefficients of f (x) lie in a subfield K such …
The Schur indices of the irreducible characters of the special linear groups
A Turull - Journal of Algebra, 2001 - Elsevier
The Schur Indices of the Irreducible Characters of the Special Linear Groups Page 1 Ž .
Journal of Algebra 235, 275314 2001 doi:10.1006rjabr.2000.8485, available online at http:rrwww.idealibrary.com …
Journal of Algebra 235, 275314 2001 doi:10.1006rjabr.2000.8485, available online at http:rrwww.idealibrary.com …
Finite groups of units and their composition factors in the integral group rings of the groups PSL(2, q)
M Hertweck, CR Höfert, W Kimmerle - 2009 - degruyter.com
Let G denote the projective special linear group PSL (2, q), for a prime power q. It is shown
that a finite 2-subgroup of the group V (ℤ G) of augmentation 1 units in the integral group …
that a finite 2-subgroup of the group V (ℤ G) of augmentation 1 units in the integral group …
Schur indices of sympletic groups
A Przygocki - Communications in Algebra, 1982 - Taylor & Francis
In 1968 B. Srinivasan (8) gave an explicit construction of the complex characters of the
symplectic groups Sp (4, q) of dimension 4 over finite fields of odd order q. The Schur …
symplectic groups Sp (4, q) of dimension 4 over finite fields of odd order q. The Schur …
Geometric realizations of representations for and Galois representations arising from defining ideals of modular curves
L Yang - arXiv preprint arXiv:2409.02589, 2024 - arxiv.org
We construct a geometric realization of representations for $\text {PSL}(2,\mathbb {F} _p) $
by the defining ideals of rational models $\mathcal {L}(X (p)) $ of modular curves $ X (p) …
by the defining ideals of rational models $\mathcal {L}(X (p)) $ of modular curves $ X (p) …