Strongly Real Elements in the Linear Groups PSLn(q)
نویسندگان
چکیده
منابع مشابه
Real and Strongly Real Classes in Finite Linear Groups
We classify the real and strongly real conjugacy classes in GLn(q), SLn(q), PGLn(q), PSLn(q), and all quasi-simple covers of PSLn(q). In each case we give a formula for the number of real, and the number of strongly real, conjugacy classes.
متن کاملReal Elements in Spin Groups
Let F be a field of characteristic 6= 2. Let G be an algebraic group defined over F . An element t ∈ G(F ) is called real if there exists s ∈ G(F ) such that sts = t. A semisimple element t in GLn(F ), SLn(F ), O(q), SO(q), Sp(2n) and the groups of type G2 over F is real if and only if t = τ1τ2 where τ 2 1 = ±1 = τ 2 2 (ref. [ST1, ST2]). In this paper we extend this result to the semisimple ele...
متن کاملOn Strongly $H_{v}$-groups
The largest class of hyperstructures is the one which satisfies the weak properties; these are called $H_{v}$-structures. In this paper we introduce a special product of elements in $H_{v}$-group $H$ and define a new class of $H_{v}$-groups called strongly $H_{v}$-groups. Then we show that in strongly $H_{v}$-groups $beta=beta^{ast}$. Also we express $theta$-hyperoperation and investigat...
متن کاملMore on Strongly Real Beauville Groups
Beauville surfaces are a class of complex surfaces defined by letting a finite group G act on a product of Riemann surfaces. These surfaces possess many attractive geometric properties several of which are dictated by properties of the group G. A particularly interesting subclass are the ‘strongly real’ Beauville surfaces that have an analogue of complex conjugation defined on them. In this sur...
متن کاملElements of Linear and Real Analysis
Preface This book deals with some basic themes in mathematical analysis along the lines of classical norms on functions and sequences, general normed vector spaces, inner product spaces, linear operators, some maximal and square-function operators, interpolation of operators, and quasisymmetric mappings between metric spaces. Aspects of the broad area of harmonic analysis are entailed in partic...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: American Journal of Applied Sciences
سال: 2008
ISSN: 1546-9239
DOI: 10.3844/ajassp.2008.1107.1109