<ruby id="d9npn"></ruby>

      <sub id="d9npn"><progress id="d9npn"></progress></sub>

      <nobr id="d9npn"></nobr>

      <rp id="d9npn"><big id="d9npn"><th id="d9npn"></th></big></rp>

      <th id="d9npn"><meter id="d9npn"></meter></th>

      Stack Exchange Network

      Stack Exchange network consists of 175 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

      Visit Stack Exchange

      Questions tagged [gr.group-theory]

      Questions about the branch of abstract algebra that deals with groups.

      0
      votes
      0answers
      60 views

      Does every character from group factor through largest central subgroup?

      Let $G$ be a coonected reductive algebraic group over $\mathbb{Q}$ and $A_G$ its largest $\mathbb{Q}$-split central torus over $\mathbb{Q}$. Let $X(G)_{\mathbb{Q}}$ be the addtive group of ...
      1
      vote
      0answers
      90 views

      Simple One-relator Groups [on hold]

      One-relator groups, that is, groups which admit a finite presentation $\langle A \: | \: w=1 \rangle$ for some $w \in A^\ast$, are well studied objects in combinatorial group theory. Many abstract ...
      6
      votes
      1answer
      224 views

      Open problems concerning all the finite groups

      What are the open problems concerning all the finite groups? The references will be appreciated. Here are two examples: Aschbacher-Guralnick conjecture (AG1984 p.447): the number of conjugacy ...
      2
      votes
      0answers
      86 views

      Satake correspondence for groups over finite field

      I asked the same question in MSE, but I didn't get any answer. So I decided to post it here, too. In Langlands' program, Satake correspondence gives a correspondence between unramified ...
      0
      votes
      2answers
      102 views

      Meaning of epimorphism from full Galois group to some group

      My problem has two parts: let $\;G:=Gal(\overline{\Bbb Q}/\Bbb Q)\;$ be the full Galois group of the rationals and $\;K\;$ be some finite group, then: (1) Does having an epimorphism (of groups, in ...
      7
      votes
      0answers
      198 views

      What are the character tables of the finite unitary groups?

      I need to know the (complex) character table of the finite unitary group $U_n(q)$. Lusztig and Srinivasan (1977) provide an abstract description, but parsing it requires a stronger background in ...
      6
      votes
      1answer
      89 views

      Bijection from $S^2$ to itself interchanging actions of $A_5$

      Let $X$ and $Y$ be two copies of $S^2$, and let $A_5$ act on each of them (as a group of rotations). Call these actions $\theta_X$ and $\theta_Y$. Moreover, let $g \in A_5$ be a fixed element of ...
      2
      votes
      0answers
      34 views

      Class of groups closed under “line supgroup”ing

      Given a finitely generated group $H$, say that $G$ is a "line supgroup" of $H$ if $H < G$ (not necessarily normal), $G$ is finitely generated and for some set of generators of $G$, the Schreier ...
      1
      vote
      0answers
      29 views

      $\omega$-nilpotent cover of a recurrent surface

      Theorem. Any $\omega$-nilpotent cover of a recurrent Riemannian manifold is Liouville. $\omega$-nilpotent ($\Gamma=\bigcup_{i=1}^{\infty}Z_{i}$, $Z_{i}$ normal in $\Gamma$, where $Z_{n+1}$ maps to ...
      0
      votes
      0answers
      68 views

      Find representation set of orbits when group acts on a set

      Let group $G$ acts on a set $S$. Burnside's lemma gives as how to count numbers of orbits. I am interested how to find the orbits. By finding orbits I mean how to find a representative from each orbit....
      5
      votes
      1answer
      143 views

      Which groups contain a comb?

      The comb is the undirected simple graph with nodes $\mathbb{N} \times \mathbb{N}$ where $\mathbb{N} \ni 0$ and edges $$ \{\{(m,n), (m,n+1)\}, \{(m,0), (m+1,0)\} \;|\; m \in \mathbb{N}, n \in \mathbb{N}...
      5
      votes
      0answers
      99 views

      Uniform versus non-uniform group stability

      Group stability considers the question of whether "almost"-homomorphisms are "close to" true homomorphisms. Here, "almost" and "close to" are made rigorous using a group metric. More precisely, ...
      2
      votes
      0answers
      94 views

      On covers of groups by cosets

      Suppose that ${\cal A}=\{a_sG_s\}_{s=1}^k$ is a cover of a group $G$ by (finitely many) left cosets with $a_tG_t$ irredundant (where $1\le t\le k$). Then the index $[G:G_t]$ is known to be finite. In ...
      3
      votes
      0answers
      89 views

      Conjugacy in metaplectic groups

      Let $F$ be a non-Archimedean local field (characteristic 0) and $G=GL(2,F)$. Let $\tilde{G}$ be "the" metaplectic double cover of $G$ (defined using an explicit cocycle as in Gelbart's book (Weil's ...
      3
      votes
      2answers
      304 views

      Down to earth, intuition behind a Anabelian group [closed]

      An anabelian group is a group that is “far from being an abelian group” in a precise sense: It is a non-trivial group for which every finite index subgroup has trivial center. I would like to know ...

      15 30 50 per page
      特码生肖图
      <ruby id="d9npn"></ruby>

          <sub id="d9npn"><progress id="d9npn"></progress></sub>

          <nobr id="d9npn"></nobr>

          <rp id="d9npn"><big id="d9npn"><th id="d9npn"></th></big></rp>

          <th id="d9npn"><meter id="d9npn"></meter></th>

          <ruby id="d9npn"></ruby>

              <sub id="d9npn"><progress id="d9npn"></progress></sub>

              <nobr id="d9npn"></nobr>

              <rp id="d9npn"><big id="d9npn"><th id="d9npn"></th></big></rp>

              <th id="d9npn"><meter id="d9npn"></meter></th>