Finite simple groups of Lie type have non-principal p-blocks, p ≠ 2
نویسندگان
چکیده
منابع مشابه
Pairwise non-commuting elements in finite metacyclic $2$-groups and some finite $p$-groups
Let $G$ be a finite group. A subset $X$ of $G$ is a set of pairwise non-commuting elements if any two distinct elements of $X$ do not commute. In this paper we determine the maximum size of these subsets in any finite non-abelian metacyclic $2$-group and in any finite non-abelian $p$-group with an abelian maximal subgroup.
متن کاملDEFECT ZERO p−BLOCKS FOR FINITE SIMPLE GROUPS
We classify those finite simple groups whose Brauer graph (or decomposition matrix) has a p-block with defect 0, completing an investigation of many authors. The only finite simple groups whose defect zero p−blocks remained unclassified were the alternating groups An. Here we show that these all have a p-block with defect 0 for every prime p ≥ 5. This follows from proving the same result for ev...
متن کاملFinite $p$-groups and centralizers of non-cyclic abelian subgroups
A $p$-group $G$ is called a $mathcal{CAC}$-$p$-group if $C_G(H)/H$ is cyclic for every non-cyclic abelian subgroup $H$ in $G$ with $Hnleq Z(G)$. In this paper, we give a complete classification of finite $mathcal{CAC}$-$p$-groups.
متن کاملUnits of p-power order in principal p-blocks of p-constrained groups
Let G be a finite group having a normal p-subgroup N that contains its centralizer CG(N), and let R be a p-adic ring. It is shown that any finite p-group of units of augmentation one in RG which normalizes N is conjugate to a subgroup of G by a unit of RG, and if it centralizes N it is even contained in N .
متن کاملpairwise non-commuting elements in finite metacyclic $2$-groups and some finite $p$-groups
let $g$ be a finite group. a subset $x$ of $g$ is a set of pairwise non-commuting elements if any two distinct elements of $x$ do not commute. in this paper we determine the maximum size of these subsets in any finite non-abelian metacyclic $2$-group and in any finite non-abelian $p$-group with an abelian maximal subgroup.
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: Journal of Algebra
سال: 1985
ISSN: 0021-8693
DOI: 10.1016/0021-8693(85)90206-6