<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>

      Questions tagged [gr.group-theory]

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

      Filter by
      Sorted by
      Tagged with
      3
      votes
      3answers
      156 views

      Subgroup generated by a subgroup and a conjugate of it

      Let $H\leq G$ be groups, and $a\in G$ so that $\langle H,a\rangle=G$. Does it follows that $\langle H\cup aHa^{-1}\rangle$ is a normal subgroup of $G$? My hope is that this is true, and my guess is ...
      0
      votes
      0answers
      33 views

      Matrix logarithm for d-dimensional cyclic permutation matrix

      I want to find the matrix $\hat{H}_d$ which, when exponentiated, leads to a d-dimensional cyclic permutation transformation matrix. I have solutions for d=2: $$ \hat{U}_2 =\left( \begin{matrix} ...
      1
      vote
      0answers
      27 views

      What are the compact Aut(A) of an algebra A(G), G finite, that contains the identity?

      If we have an algebra A over a finite group G, then if G is non-abelian we can have a non-trivial set of compact automorphisms of A that map the elements of G onto a set isomorphic to G. It may be ...
      -3
      votes
      1answer
      78 views

      Orbit size of an element [on hold]

      Let $H$ be a normal subgroup of $G$ and assume that $G$ is acting over a set $X$. Let $c$ be some element of $X$, is there any relationship among the size of the orbit of $c$ under the action of $H$ ...
      9
      votes
      2answers
      342 views

      Regular subsets of $\text{PSL}(2, q)$

      Suppose a group $G$ acts on a set $\Omega$. Call a subset $A \subset G$ regular (or sharply transitive or simply transitive or...) if for every two points $\omega_1, \omega_2 \in \Omega$ there is a ...
      2
      votes
      1answer
      153 views

      What generalizes symmetric polynomials to other finite groups?

      Multivariate polynomial indexed by ${1, \ldots, n}$ are acted on by $S_n$: for $\sigma \in S_n$, define $\sigma(x_i) = x_{\sigma(x_i)}$, etc. Symmetric polynomials are those polynomials which are ...
      5
      votes
      0answers
      120 views

      Explicit description of the smallest class of groups, that contains all finite simple groups and is closed under semidirect products

      Suppose $\Pi$ is the smallest class of groups satisfying the following conditions: All finite simple groups lie in $\Pi$ If $G \cong H \rtimes K$ and both $H$ and $K$ are in $\Pi$, then $G$ is also ...
      1
      vote
      1answer
      53 views

      Structure of extensions arising in Lie approximation of connected groups

      My imperfect understanding is that, by the work of various authors (Gleason, Yamabe, Montgomery, Zippin ...), the following result is known: Let $G$ be a connected, locally compact, Hausdorff group, ...
      5
      votes
      1answer
      100 views

      Analog of the Lie Product formula for commutators

      Let $X, Y$ be elements of a Lie algebra. Consider the group $G$ generated by (limits of) arbitrary products of the elements $$ G = \langle{e^{tX},e^{sY}\rangle}$$ for all $t,s$. The Lie product ...
      6
      votes
      0answers
      121 views

      Finite subquotients of R. Thompson's group $F$

      Recall R. Thompson's group $F$ acting on the interval $[0,1]$: it consists of piecewise linear oriented maps with slopes a power of $2$ and dyadic breakpoints. Is every finite subquotient (= quotient ...
      2
      votes
      0answers
      100 views

      On group varieties and numbers

      Suppose $\mathfrak{U}$ is a group variety. Let’s define $N_{\mathfrak{U}} \subset \mathbb{N}$ as a such set of numbers, that for any finite group $G$, $|G| \in N_{\mathfrak{U}}$ implies $G \in \...
      6
      votes
      1answer
      113 views

      Starting letters of equivalent infinite geodesic paths of hyperbolic Coxeter groups

      Let $\left(W\text{, }S\right)$ be a Gromov hyperbolic Coxeter system and denote by $\partial W$ the corresponding Gromov boundary. For $z\in\partial W$ let $\alpha$, $\beta$ be infinite geodesic paths ...
      2
      votes
      1answer
      137 views

      Reduced expression and Bruhat order

      For $n\ge 3$. Let $s_1\cdots s_n$ be a reduced expression of $x$. Suppose $s_1\cdots s_{n-1}\le w$ and $s_2\cdots s_{n}\le w$. Does this imply $x\le w$?
      5
      votes
      1answer
      190 views

      Easy example of an infinite simple group with an embedding into a finitely presented group

      I would like an easy example of an infinite simple group along with an embedding into a finitely presented group. I know that there are infinite simple finitely presented group such as Thompson’s ...
      4
      votes
      1answer
      139 views

      Where or how can I find matrix representatives of the conjugacy classes of Conway's group Co??

      I would like to find ($24\times 24$) matrices representing the various conjugacy classes of Conway's group $\mathrm{Co}_0$ acting on the Leech lattice in the usual coordinate system given by the MOG. ...

      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>

              jbd财神捕鱼官网 2013手机捕鱼达人2无限金币 233kjcom手机开奖结果87 500万彩票计划 真钱棋牌游戏 江西时时二千万 幸运赛车一期计划 河北时时直选 飞鱼开奖走势图 腾讯时时计划稳赢版