The Artin Exponent of Projective Special Linear Group PSL (2, P‘)
نویسندگان
چکیده
This paper finds the Artin characters and exponent dependingon character table conjugacy classes of projective special lineargroup PSL (2,P*).Then we prove that (2, P*) isequal to p*' where P is a prime number , p=3 k> 0.
منابع مشابه
Generating Sequences of the Two Dimensional Special Projective Linear Group over Fields of Prime Order, PSL(2, p)
As an infinite family of simple groups, the two dimensional special projective linear groups PSL(2,p) are interesting algebraic objects. While the groups are well known in the sense that their subgroup lattice structure is completely determined, properties of their generating sequences are still not entirely understood. With recent developments in this direction, one can begin to completely ans...
متن کاملa note on the normalizer of sylow 2-subgroup of special linear group $sl_2(p^f)$
let $g={rm sl}_2(p^f)$ be a special linear group and $p$ be a sylow $2$-subgroup of $g$, where $p$ is a prime and $f$ is a positive integer such that $p^f>3$. by $n_g(p)$ we denote the normalizer of $p$ in $g$. in this paper, we show that $n_g(p)$ is nilpotent (or $2$-nilpotent, or supersolvable) if and only if $p^{2f}equiv 1,({rm mod},16)$.
متن کاملMaximum sum element orders of all proper subgroups of PGL(2, q)
In this paper we show that if q is a power of a prime p , then the projective special linear group PSL(2, q) and the stabilizer of a point of the projective line have maximum sum element orders among all proper subgroups of projective general linear group PGL(2, q) for q odd and even respectively
متن کاملCharacterization of some projective special linear groups in dimension four by their orders and degree patterns
Let $G$ be a finite group. The degree pattern of $G$ denoted by $D(G)$ is defined as follows: If $pi(G)={p_{1},p_{2},...,p_{k}}$ such that $p_{1}
متن کاملSURFACE SYMMETRIES AND PSL 2 ( p )
We classify, up to conjugacy, all orientation-preserving actions of PSL2(p) on closed connected orientable surfaces with spherical quotients. This classification is valid in the topological, PL, smooth, conformal, geometric and algebraic categories and is related to the Inverse Galois Problem.
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: ???? ???? ??????? ????????
سال: 2022
ISSN: ['2735-5470']
DOI: https://doi.org/10.35950/cbej.v20i85.8697