Theresa May lists the steps the government is taking to prevent radicalisation of Muslims in Britain - including in universities and prisons, and online.

Theresa May stresses that it is also vital to "defeat the ideology" behind the terrorist threat, which "has nothing to do with Islam itself". She says Islam is a religion of peace, so "let us stand side by side with the British Muslims who are coming together and saying 'Not in my name'". Another strong round of applause from party activists.

tweets:, external That sound is Boris Johnson dumping vacuum cleaners and rewriting his speech, a Clown Prince worried he'll sound daft after Theresa May

Theresa May promises greater powers for police to access internet communications data, under a future Conservative government. She says such powers have been vital in tackling terrorism and organised crime. In an attack on the Lib Dems, Mrs May says it was "outrageous" for the party to oppose tougher surveillance laws. The Conservatives would ensure there are the sufficient legal powers and technical capabilities to protect the public.

tweets:, external Theresa May quotes from Koran, takes on radical Islam and IS, "a hateful ideology which has nothing to do with Islam itself". Big speech

Here are some silhouetted activists queuing to get into the conference.

Image source, Reuters

tweets:, external Theresa May says @LibDems opposition to "snoopers charter" is "outrageously irresponsible" #cpc14

tweets:, external Boos in the hall for the Lib Dems when Theresa May says party vetoed Comms Data Bill. But next Tory govt will introduce it #cpc14

tweets:, external May says UK can work with European partners to crack down in jihadis. Take that, Nigel Farage #cpc14

Theresa May says a Counter-Terrorism Bill will be introduced to Parliament in November which will allow the police to seize passports at the border to prevent travel and investigate suspects. She say 103 people have been arrested for terrorism offences in Syria, with 24 of those charged and five prosecuted. A new criminal offence of preparing and training for terrorism overseas will also be introduced, under government plans.

tweets:, external Steely, clever, serious stuff from Theresa May on big challenges of our time. Difficult for Boris to follow this with a comic turn #cpc14

The home secretary says British nationals with dual nationality who go abroad to fight in jihadist wars can have their passports revoked. She says she also has powers to keep naturalised citizens out of the country. But Mrs May stresses that under international law no country can make its citizens stateless, so young Britons have to be discouraged from travelling to Syria and Iraq in the first place. She says she is working with other EU countries to disrupt and prevent travel to the region. She says she has removed passports from 25 people who planned to travel to Syria and pledges, to applause: "I will go on using that power."

tweets:, external May:"We must not flinch. We must not shy away from our responsibility. We must act to destroy ISIL"

Theresa May says it is right the UK has joined the international coalition against IS militants, warning that if the situation is left alone "we will see the world's first truly terrorist state" in Syria and Iraq. IS could acquire chemical, biological or nuclear weapons, she warns. "This is not somebody' else's battle," she adds, and insists the UK must act to "destroy" IS.

tweets:, external Formidable start to Theresa May #CPC14 speech - assault on use of stop + search after being introduced by univ student Alexander Paul

Theresa May cites the beheadings of hostages by Islamic State militants. Addressing the organisation's name she says it is "not Islamic" and "not a state". She says IS is causing "death and destruction" in the Middle East region, and has also made clear its desire to attack Britain, America and the West.

tweets:, external Will be on @daily_politics with @afneil following the great @MayorofLondon London speech #CPC14

The home secretary tells the hall that crime is down by 22% under this government. She says she could go into more detail about other achievements in the Home Office - but will instead talk about the "deadly terrorist threat we face".

Theresa May acknowledges that "problems" still remain with stop and search and says she is determined to ensure that nobody is ever stopped and searched "because of the colour of their skin". That meets with more applause from the audience.

tweets:, external David Davis predicts Theresa May will have "real trouble" getting her "extremism" crackdown through Commons #cpc14