<em id="zlul0"></em><dl id="zlul0"><menu id="zlul0"></menu></dl>

<em id="zlul0"></em>

<dl id="zlul0"></dl>
<div id="zlul0"><tr id="zlul0"><object id="zlul0"></object></tr></div>
<em id="zlul0"></em>

<div id="zlul0"><ol id="zlul0"></ol></div>

# Questions tagged [gap]

GAP (Groups, Algorithms and Programming) is a system for computational discrete algebra, with particular emphasis on Computational Group Theory. It provides a programming language, a library of thousands of functions implementing algebraic algorithms, and large data libraries of algebraic objects.

29 questions
Filter by
Sorted by
Tagged with
0answers
34 views

### On monomial and $\Omega^d$-finite algebras

Let $Q$ be a finite quiver and $I$ a monomial admissible ideal of the path algebra $KQ$ for a field $K$. Then an algebra $A=KQ/I$ is called a monomial algebra. It is well known that monomial algebras ...
1answer
154 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. ...
1answer
116 views

### Testing whether a module generates $K_0(\mbox{mod-}A)$

Given a representation-finite (connected) quiver algebra $A$ and a module $M$. Is there a good way to test whether the set $\{ [N] \mid N \in \mathrm{add}(M) \}$ generates $K_0(\mbox{mod-}A)$? ...
0answers
108 views

### About $E(G)$ for a finite $p$-group $G$

For any group $G$, the absolute center $L(G)$ of $G$ is defined as $$L(G) = \lbrace g\in G\mid \alpha(g)=g,\forall\alpha\in Aut(G) \rbrace$$, where $Aut(G)$ denote the group of all automorphisms of $G$...
0answers
25 views

### Creating a List of permutations given a condition with GAP system [closed]

Please, I am new to GAP system and I am trying to test the following simplified form of code where I intend to test a given condition on a set of permutations and then add to the list M of the ...
0answers
59 views

### Relations of minimal number of generators

What is the command in GAP to find the all relations of minimal generators of a finite $p$-group $G$?
2answers
167 views

### GAP versus SageMath for branching to Lie subgroups

Which computer package is better, GAP or SageMath, for decomposing an irreducible representation of a (simple) Lie group $G$ into representations of a Lie subgroup. I am most interested when ...
2answers
148 views

### Finding all $d$-dimensional indecomposable representations

Given a connected quiver algebra $A$ over a finite field $K$. Question : Is there an effective/quick method to obtain all $d$-dimensional indecomposable representations for a fixed $d$ with a ...
2answers
147 views

### Obtaining quiver and relations for finite p-groups

Given a finite field $K$ with $p$ elements and a finite $p$-group $G$, is there a way to obtain the quiver and relations of $KG$ with GAP (and its package QPA)? Since $KG$ is local, the quiver should ...
0answers
103 views

### Recovering the bimodule from the trivial extension

Given a ring $S$ with a non-zero $S$-bimodule $M$, the trivial extension of $(S,M)$ is defined as the ring $R:=T_M(S)$ with $R= S \oplus M$ with multiplication $(s,m)(s',m')=(s s', sm' +m s')$. We ...
0answers
132 views

Let $G$ be a finite non-abelian $p$-group, where $p$ is a prime. An automorphism $\alpha$ of $G$ is called a class-preserving if for each $x\in G$, there exists an element $g_x\in G$ such that $\alpha(... 0answers 57 views ### Obtaining the reduced incidence algebra in QPA Given a finite poset$P$(we can assume it is connected), the reduced incidence algebra of$P$is the subalgebra of the incidence algebra of$P$consisting of functions constant on isomorphic ... 0answers 52 views ### Algebra dimension computation in GAP How does GAP compute the dimension of a matrix algebra over the rational numbers? I am curious about the run time. For example, the manual https://www.gap-system.org/Manuals/doc/ref/chap62.html does ... 1answer 132 views ### Is there a subgroup of dual depth 3? This post is motivated by an exchange with Zhengwei Liu. It is more than the dual version of this post, because we consider any subgroup (instead of just maximal), and even more at the end... Let's ... 3answers 303 views ### Is there a maximal subgroup of depth 3? Let's first define what we mean by depth of a subgroup. Let$G$be a finite group and$H$a subgroup. Let$(V_i)_{i \in I}$and$(W_j)_{j \in J}$be the irreducible complex representations of$G\$ ...

15 30 50 per page
山西福彩快乐十分钟
<em id="zlul0"></em><dl id="zlul0"><menu id="zlul0"></menu></dl>

<em id="zlul0"></em>

<dl id="zlul0"></dl>
<div id="zlul0"><tr id="zlul0"><object id="zlul0"></object></tr></div>
<em id="zlul0"></em>

<div id="zlul0"><ol id="zlul0"></ol></div>
<em id="zlul0"></em><dl id="zlul0"><menu id="zlul0"></menu></dl>

<em id="zlul0"></em>

<dl id="zlul0"></dl>
<div id="zlul0"><tr id="zlul0"><object id="zlul0"></object></tr></div>
<em id="zlul0"></em>

<div id="zlul0"><ol id="zlul0"></ol></div>
北京赛车pk10直播开奖 120性感美女屋 后二组选包胆怎么倍投 球探网足球即时此分 真人二人麻将下载 E世博是什么公司 二人麻将规则及图解 四川时时官网 时时彩老玩家的经验 重庆时时开奖号码公告