The man arrested over the death of MP Jo Cox is being investigated for potential links to right-wing extremism, according to West Yorkshire Police.

Tommy Mair, 52, was detained shortly after the attack in Birstall, West Yorkshire, where he allegedly shot and stabbed the 41-year-old Labour MP, and remains in police custody.

West Yorkshire Police have since released a statement saying Mr Mair's reported links to right-wing extremism, as well as his links to mental health services, are both clear lines of inquiry they are following.

The force said: "A murder investigation is under way by West Yorkshire Police who are working together with the North East Counter Terrorism Unit, who will bring specialist assets in support of the inquiry.

"We are aware of the speculation within the media in respect of the suspect's link to mental health services and this is a clear line of inquiry which we are pursuing.

"We are also aware of the inference within the media of the suspect being linked to right-wing extremism, which is again a priority line of inquiry which will help us establish the motive for the attack on Jo."

Mair, was reportedly born in Kilmarnock, East Ayrshire, but had lived in Birstall for over 30 years, is alleged to have shouted "Britain first" during the fatal incident.

He has since been linked in the media with various right-wing groups.

Mair was named in a 2006 edition of the Springbok Cyber Newsletter, an organisation which has called for a return to apartheid-style government in South Africa.

Further to this, a US civil rights group, the Southern Poverty Law Centre (SPLC), based in Alabama, claimed it had obtained records showing a Thomas Mair had links with the neo-Nazi organisation National Alliance (NA) dating back to 1999.

Mair's brother, however, has suggested mental health issues are more likely to be the deciding factor behind his actions.

Scott Mair, 50, said his brother had "a history of mental illness but he has had help".

The latest developments come as tributes continue to flood in for Mrs Cox from around the country.

Labour party leader Jeremy Corbyn described his colleague as someone who "stood for tolerance, justice, peace and human rights".

Meanwhile, a vigil will be held in George Square in Glasgow on Friday night at 7pm, with events already having taken place in Birstall as well as London.

Organiser of the Glasgow event Helen Ntabeni said she had been inspired by the poignant comments of Mrs Cox's husband Brendan, who said that everyone should "fight hatred with love" in her memory.

She said: "Our thoughts go out to Jo's beautiful young family, and her husband Brendan as they face this bleak time.

"We want to assure them that we celebrate the wonderful force for positive change that Jo was, recognising that she was a woman who made a lasting difference in the world."