"Untrue," says 10 Downing Street to the claims of Boris Johnson groping a woman

Britain Prime Minister Boris Johnson was trying mightily Monday to showcase his shiny new agenda for the people, but his Conservative Party's annual conference has been overshadowed by accusations about how he treats women.

The latest is a claim by a Sunday Times columnist that Johnson groped her thigh - "high up" - at a magazine lunch in 1999.

"Untrue," says 10 Downing Street.

He's also accused of abusing his position as mayor of London to grant favorable treatment to a friend, U.S. businesswoman Jennifer Arcuri.

Arcuri, who received thousands of pounds from a government agency that Johnson oversaw, told friends she and Johnson were having an affair, according to British news reports.

Johnson claims to have "no interest to declare" in Arcuri's firm.

He has additionally prompted outrage among female lawmakers for seeming to dismiss their suggestion that his martial rhetoric - accusing his opponents of "surrender" - encourages threats against them.

Over the weekend, the Sunday Times announced, "on the second anniversary of #MeToo, our new columnist recalls a scandalous encounter with the prime minister."

The new columnist is Charlotte Edwardes, and her first column told of how Johnson groped her and another woman at a magazine lunch.

Edwardes described the atmosphere at the Spectator in the late 1990s, when Johnson was editor and she a contributor.

It was, she wrote, "essentially a magazine for old Tories, but also a place famous for hiring pneumatic twentysomething interns with posh degrees. No one minds calling these clean-skinned, shiny-eyed girls 'totty,' even to their clean-skinned, shiny-eyed faces. They are not Bambis in the forest exactly. They are smoking, drinking, knowing. They witness the back-room mischief of the political classes. Which is fun."

She set the mood for the luncheon as "louche, loud, risque."

Edwardes reported, "Wine is poured; wine is drunk."

And then: "I'm seated on Johnson's right; on his left is a young woman I know. I can't remember any Bambis that day. Maybe we were the Bambis. More wine is poured; more wine is drunk. Under the table, I feel Johnson's hand on my thigh. He gives it a squeeze. His hand is high up my leg and he has enough inner flesh beneath his fingers to make me sit suddenly upright."

After Johnson's flak-catchers denied the allegations, Edwardes replied on Twitter, "If the prime minister doesn't recollect the incident then clearly I have a better memory than he does."

The allegations about Johnson's relationship with Arcuri, the U.S. businesswoman, relate to a different period of his life.

Arcuri moved to London in 2011 for a one-year MBA degree. Shortly after, she met Johnson - she was 27; he was 47 and mayor of London.

Arcuri set up a company called Innotech, which held discussions or "summits" with tech entrepreneurs, politicians and policymakers. The group's first keynote speaker was Johnson, according to news reports.

According to the Sunday Times, Arcuri's technology company received thousands of pounds of public money from the mayor's promotional agency.

Arcuri was also invited to join Johnson on three foreign trade missions, to Singapore and Malaysia, New York, and Tel Aviv, despite not being eligible to take part in them, the paper said. On two of the trips, the mayor's office intervened to ensure she could come, the paper said.

The paper said she told friends she was having a sexual affair with Johnson, raising questions about a conflict of interest.

On Friday, the issue was referred to a police watchdog, which is considering whether the prime minister should be investigated for misconduct in public office.

Speaking on "The Andrew Marr Show" on Sunday, Johnson insisted that "everything was done with full propriety."

Senior ministers in Johnson's newly assembled cabinet have been called upon to defend the prime minister.

Chancellor Sajid Javid endorsed Johnson's denials about the Spectator dinner.

"I talked to the prime minister about that, and, first of all, he couldn't be clearer, absolutely clear, that they are completely untrue, and I totally trust him on that," Javid told the BBC.

Conservative lawmaker Rachel Maclean defended Johnson's feminist credentials.

"I am a feminist," she said. "I am proud to say that and I'm proud to be part of a government that is led by a feminist."

Another member of Johnson's cabinet, Matt Hancock, said that he knew the accusing journalist well and described her as "trustworthy."

Since taking office in July, Johnson has been widely criticized for his use of language in relation to women.

Many thought he crossed a line when he seemed to call the Labour leader Jeremy Corbyn a "big girl's blouse" during his first prime minister's questions. He also called the former prime minister David Cameron a "girly swot" - a schoolboy taunt for overly diligent students - in a leaked cabinet paper document.

His casual dismissal of female lawmakers' concerns over threats of violence also drew widespread criticism.

In the latest YouGov poll, there was a notable gender gap in terms of Johnson's likability, with 44% of men and 34% of women saying they found Johnson "likable."

Mandu Reid, leader of the Women's Equality Party, said, "Following the example of men like Nigel Farage and Donald Trump, Johnson uses a calculated blend of racism, sexism and buffoonery to appeal to his base and present himself as a populist 'man of the people.' This is not only gross, it is also dangerous."

Johnson's professional and private relationships have made headlines before.

In 2004, he was fired from a Conservative Party leadership post after lying about an affair with a Spectator staffer. Johnson, who was married at the time, had originally told reporters the claim was an "inverted pyramid of piffle."

More recently, police were called to his home last summer following a noisy spat he had with his girlfriend, Carrie Symonds.