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pro vyhledávání: '"HARPER, SCOTT"'
Autor:
Davis, James1 (AUTHOR)
Publikováno v:
Music & Letters. Aug2022, Vol. 103 Issue 3, p576-581. 6p.
For a group $G$, a subgroup $U \leq G$ and a group $\mathrm{Inn}(G) \leq A \leq \mathrm{Aut}(G)$, we say that $U$ is an $A$-covering group of $G$ if $G = \bigcup_{a\in A}U^a$. A theorem of Jordan (1872) implies that if $G$ is a finite group, $A = \ma
Externí odkaz:
http://arxiv.org/abs/2410.02569
Autor:
Ellis, David, Harper, Scott
Let $G$ be a nontrivial finite permutation group of degree $n$. If $G$ is transitive, then a theorem of Jordan states that $G$ has a derangement. Equivalently, a finite group is never the union of conjugates of a proper subgroup. If $G$ is intransiti
Externí odkaz:
http://arxiv.org/abs/2408.16064
Autor:
Harper, Scott, Liebeck, Martin W.
Feit and Tits (1978) proved that a nontrivial projective representation of minimal dimension of a finite extension of a finite nonabelian simple group $G$ factors through a projective representation of $G$, except for some groups of Lie type in chara
Externí odkaz:
http://arxiv.org/abs/2405.17593
Publikováno v:
Music & Letters, 2009 Nov 01. 90(4), 731-731.
Externí odkaz:
https://www.jstor.org/stable/40539088
Let $\mathcal{F}$ be a set of finite groups. A finite group $G$ is called an \emph{$\mathcal{F}$-cover} if every group in $\mathcal{F}$ is isomorphic to a subgroup of $G$. An $\mathcal{F}$-cover is called \emph{minimal} if no proper subgroup of $G$ i
Externí odkaz:
http://arxiv.org/abs/2311.15652
Autor:
James Davis
Publikováno v:
Music and Letters. 103:576-581