gmail – Subscribe to google groups without confirmation email

As a google group owner, is it possible to enable those who who sign up, to sign up without needing to click a button in a confirmation email.

Is it just possible to tweak some settings so that when users signs up, they are signed up without having to confirm their subscription?

I know that you can sign up, on gmail, via [group-name] but this requires a confirmation.

linear algebra – Are groups and rings more difficult algebraic structures to understand than vector spaces?

I have read multiple posts on here and in other places where most people seem to recommend to learning linear algebra before abstract algebra. Is that because vector spaces are simpler to understand then groups and rings? I am having some challenges with understanding how certain aspects of vector spaces work, I was wondering if learning about rings and/or groups can help me better understand how vector spaces work?

Best way of grouping points into groups

I am given a finite set $Ssubsetmathbb{R}^n$ and a natural number $m$. Both $n,m$ are supposed to be small compared to $|S|$. Now I want to find the decomposition $S=cup_{i=1}^m S_i$ such that $max_{i=1}^n max_{a,bin S_i}||a-b||$ is minimal.

Here are my questions:

-Does this problem have a name?

-Are there methods to solve it efficiently, at least approximately?

-Where are these methods implemented?

How do I search the Usenet archives only in Google Groups?

When I use the search function in Google Groups, the results contain not only Usenet posts, but also Google Groups posts. Is there a way to exclude Google Groups posts from the search results? I only want to search the Usenet archives through the Google Groups web interface.

sharepoint online – Creating OOTB groups using SP pnp JS failed

I am using below script to create OOTB groups(member,visitor,owner) through SP PnP js in SharePoint Online.

(async () => {
    const owner1 = "i:0#.f|membership|Username@<tenant>";
    const copyRoleAssignments = false;
    const clearSubScopes = true;
    const ootbgroupCreation = await sp.web.createDefaultAssociatedGroups("Site Title",owner1,copyRoleAssignments,clearSubScopes);

linear algebra – Galois groups associated to matrices

When $Ain M_n(mathbb{Q})$, we consider the pencil $A-xA^T$. Then $p_A(x)=det(A-xA^T)$ is a self-reciprocal polynomial. $p_A$ can only be irreducible if $n=2p$ is even.

Question: For every $p$, does there exist a matrix $Ain M_{2p}(mathbb{Q})$ s.t. $galois(p_A)=C_2wr S_p$ (the maximal Galois group for a self-reciprocal polynomial; it contains a sugroup isomorphic to $S_p$ and has cardinality $2^pp!$) ?

I am sure that the answer is yes; still have to show it !

A candidate family $(A_{2p})$ is as follows.

Let $A_{n}=(a_{i,j})in M_n(mathbb{Q})$, where $a_{i,i}=i,a_{i,i+1}=1$ and otherwise, $a_{i,j}=0$.

$f_{2p}(x)=det(A_{2p}-x{A_{2p}}^T)$, where $A_{2p}-x{A_{2p}}^T$ is a 1-band matrix.

One has the recurrence formula $f_n(x)=n(1-x)f_{n-1}(x)+xf_{n-2}(x)$.

Experiments seem to “show” that it works. What do you think ? Thanks in advance.

magento2.3.4 – Magento 2 – Disable Payment Method for Certain Customer Groups by using Observer

Source : Stright opposite i just enable certain customer group,




<?xml version="1.0"?>
<config xmlns:xsi="" xsi:noNamespaceSchemaLocation="urn:magento:framework:Event/etc/events.xsd">
    <event name="payment_method_is_active">
        <observer name="enable_payment_customer_group" instance="GtaEnablePaymentMethodObserverPaymentMethodEnable" />


<?xml version="1.0"?>
<config xmlns:xsi="" xsi:noNamespaceSchemaLocation="urn:magento:framework:Module/etc/module.xsd">
    <module name="Gta_EnablePaymentMethod" setup_version="1.0.0" schema_version="1.0.0"/>


namespace GtaEnablePaymentMethodObserver;
use MagentoFrameworkEventObserver;
use MagentoFrameworkEventObserverInterface;
class PaymentMethodEnable implements ObserverInterface {
    protected $_customerSession;
    public function __construct(
       MagentoCustomerModelSession $customerSession
    ) {
       $this->_customerSession = $customerSession;
    public function execute(Observer $observer) {
       $payment_method_code = $observer->getEvent()->getMethodInstance()->getCode();
       if ($payment_method_code == 'paypal_express') {
           $result = $observer->getEvent()->getResult();
           if ($this->_customerSession->isLoggedIn()) {
               $customerGroupId = $this->_customerSession->getCustomer()->getGroupId();
               if ($customerGroupId == 9) {
                   $result->setData('is_available', true);

Anything else i forget to do?

❕NEWS – BEWARE! Facebook groups are selling fake suicide pills in exchange for bitcoin | NewProxyLists

The worst thing that you can ever possibly do in life is to prey on the vulnerable people and for those that are in a slump and are going through depression. But a recent article has shown that there are dozens of Facebook groups that offer to sell deadly poison to people contemplating suicide, with the payment being made in bitcoin, and other cryptos. This was revealed by a BBC investigation.

What is even sadder that these people do not try to dissuade the person from suicide but rather give them instructions on how to carry it out and make use of their poison, as for them this is just another transaction. The BBC didn’t name the compound being sold, yet said more than 60 Facebook pages were professing to sell it, and most were promoting it as a self destruction instrument.

Please stay away from these sites! And if you need help speak to someone about it, anyone! There are many people there for you and suicide is never the answer as it does not end the pain but just passes it on to another person… the ones that you leave behind. Do not fall for this. Any problem can be sorted out with the right guidance.

rt.representation theory – The finite groups G for which the tensor category Rep(G) is modular

We refer to Chapter 8 of the book Tensor Categories for the notion of modular tensor category.
The only finite groups $G$ I know such that $mathrm{Rep}(G)$ is a modular tensor category, are the abelian ones. I wonder whether there are non-abelian ones. The paper On the classification of weakly integral modular categories shows that all integral modular categories of rank at most $7$ are pointed. It follows that for all non-abelian finite group $G$ of class number at most $7$ (as $S_3$ or $A_5$), $mathrm{Rep}(G)$ is non-modular.

Question: For which finite groups $G$ the tensor category $mathrm{Rep}(G)$ is modular?
Are there non-abelian ones? If so, is there a classification or a group-theoretical characterization?

magento2 – Display Customer Groups Dropdown in admin system configurations in custom module of Magento 2

Here is the code which I have used in my custom module. Hope this will also help you.

  1. Add below code in Vendor/Module/etc/adminhtml/system.xml file.
<?xml version="1.0"?>    
<config xmlns:xsi="" xsi:noNamespaceSchemaLocation="urn:magento:module:Magento_Config:etc/system_file.xsd">
    <tab id="custom_tab" translate="label" sortOrder="300">
        <label>Custom Tab</label>
    <section id="custom_section" translate="label" type="text" sortOrder="100" showInDefault="1" showInWebsite="1" showInStore="1">
        <label>Custom Module</label>
        <group id="custom" translate="label" type="text" sortOrder="50" showInDefault="1" showInWebsite="1" showInStore="1">
            <label>Custom Options</label>
            <field id="customer_group_list" translate="label" type="multiselect" sortOrder="40" showInDefault="1" showInWebsite="1" showInStore="1">
                <label>Customer Groups</label>
  1. Create VendorModuleModelAdminhtmlSystemConfigSourceCustomerGroup.php file and add below code in it.
namespace VendorModuleModelAdminhtmlSystemConfigSourceCustomer;

class Group implements MagentoFrameworkOptionArrayInterface
protected $_options; 

public function __construct(MagentoCustomerModelResourceModelGroupCollectionFactory $groupCollectionFactory)
    $this->_groupCollectionFactory = $groupCollectionFactory;

 * @return array
public function toOptionArray()
    if (!$this->_options) {
        $this->_options = $this->_groupCollectionFactory->create()->loadData()->toOptionArray();
    return $this->_options;

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