Sylow (aNowegian mathematician) in his theorem gave a condition for such divisor mif G must have a subgroup of order m. The group treated in this paper is thepermutation group also called the symmetric group. Wreath product is usedin constructing these subgroups (the Sylow p - subgroups) of...
SYLOW subgroupsSYMMETRIC matricesABELIAN groupsIn this paper we prove that the Maschke property holds for coprime actions on some important classes of p-groups like: metacyclic p-groups, p-groups of p-rank two for p>3 and some weaker property holds in the case of regular p...
Let U U be a Sylow p p -subgroup in a classical group over a finite field of characteristic p p . The coadjoint orbits of the group U U play the key role... M Ignatev,M Venchakov 被引量: 0发表: 2024年 On the character degrees of Sylow p-subgroups of Chevalley groups G(pf) ...
We show that Aut(P) has a unique Sylow p-subgroup, S_p, and that Aut... M Schulte 被引量: 9发表: 2001年 Second maximal subgroups of the finite alternating and symmetric groups A subgroup of a finite group G is said to be second maximal if it is maximal in every maximal subgroup ...
D. L. Shaw, "The Sylow 2-subgroups of finite, soluble groups with a single class of involutions," J. Algebra, 16 , No. 1, 14–26 (1970).Shaw, D. L. (1970) The Sylow 2-subgroups of finite, soluble groups with a single class of involutions. J. Algebra 16: pp. 14-26...
Let q q be a power of a prime p p and let U(q) U(q) be a Sylow p p -subgroup of a finite Chevalley group G(q) G(q) defined over the field with q q elements. We first give a parametrization of the set ext{Irr}(U(q)) ext{Irr}(U(q)) o... T Le,K Magaard,A Pao...
Our theorem, combined with the main results of [5] and [6], shows that there is no simple group whose Sylow 2-subgroups satisfy the conditions of Thompson's result. Since many of the arguments of this paper are quite similar to corresponding ones in [6], we have omitted the proofs of...
Finite subgroups of division rings Your device is paired with for another days. [3] W. Burnside, On finite groups in which all Sylow subgroups are cyclic, Messenger of Mathematics vol. 35 (1905) pp. 46-50. [4] -, On a general property of finite irreducible groups of... SA Amitsur ...
We determine the character tables of Sylow $p$-subgroups ${^3}D_4^{syl}(q^3)$ of the Steinberg triality groups ${^3}D_4(q^3)$.doi:10.1080/00927872.2018.1461881Yujiao SunCommunications in AlgebraY. Sun. Character tables of Sylow p-subgroups 3D4syl(q3) of the Steinberg triality ...
On the maximal subgroups of finite simple groups p3, then R is necessarily a subgroup of 92.In our study of finite groups 6 with dihedral Sylow 2-subgroups, we require the identical result for certain odd primes p dividing the order of the central- izer of an involution in 6... D ...