Answer by taking a quote from the following article:

Mayhem is a Norwegian black metal band formed in 1984 in Oslo. They were one of the founders of the Norwegian black metal scene and their music has strongly influenced the black metal genre. Mayhem's early career was highly controversial, primarily due to their notorious live performances, the 1991 suicide of vocalist Per Yngve Ohlin ("Dead") and the 1993 murder of guitarist Oystein Aarseth ("Euronymous") by former member Varg Vikernes ("Count Grishnackh"), of Burzum. The group released a demo and an EP that were highly influential, and amassed a loyal following through sporadic and notorious live performances, attracting further attention through their ties to the string of Norwegian church burnings and the incidents of violence surrounding them.

Dead's suicide affected Necrobutcher so much that he left Mayhem, thinning the band's ranks down to two. The group performed for a short time thereafter with Occultus, joining the band to begin recording vocal and bass tracks in Mayhem's debut album, De Mysteriis Dom Sathanas. However, this was short-lived; he left the band after receiving a death threat from Euronymous. In July 1993, Live in Leipzig was released as the band's tribute to Dead.  In late 1992, the recording of Mayhem's upcoming album resumed; thus Aarseth engaged three more session musicians: Burzum's Varg Vikernes (stage name "Count Grishnackh"), Thorns' Snorre W. Ruch ("Blackthorn"), who handled bass guitar and rhythm guitar respectively, and singer Attila Csihar, of Hungarian black metal band Tormentor. Due to complaints by his parents, Euronymous closed his scene focal point record shop Helvete, claiming as reasons adverse media and police attention. Much of the album was recorded during the first half of 1993 at the Grieg Hall in Bergen. To coincide with the release of the album, Euronymous and Vikernes had conspired to blow up Nidaros Cathedral, which appears on the album cover. Euronymous's murder in August 1993 put an end to this plan and delayed the album's release.  On 10 August 1993, Vikernes murdered Euronymous. On that night, Vikernes and Ruch travelled from Bergen 518 km to Euronymous' apartment in Oslo. Upon their arrival, a confrontation began, which ended when Vikernes fatally stabbed Euronymous. His body was found outside the apartment with twenty-three cut wounds -- two to the head, five to the neck and sixteen to the back. Vikernes claims that Euronymous had plotted to torture him to death and videotape the event, using a meeting about an unsigned contract as a pretext. On the night of the murder, Vikernes claims he intended to hand Euronymous the signed contract and "tell him to fuck off", but that Euronymous attacked him first. Additionally, Vikernes defends that most of Euronymous' cut wounds were caused by broken glass he had fallen on during the struggle. Vikernes was arrested within days, and a few months later he was sentenced to 21 years in prison for both the murder and church arsons; he was released from prison in 2009. Blackthorn, who waited for Vikernes downstairs and took no part in Aarseth's murder, was charged with complicity in murder and sentenced to serve 8 years in prison. With only Hellhammer remaining, Mayhem effectively ceased to exist.  In May 1994, De Mysteriis Dom Sathanas was released and dedicated to Euronymous. Its release had been delayed due to complaints filed by Euronymous' parents, who had objected to the presence of bass guitar parts played by Vikernes. According to Vikernes himself, Hellhammer assured Aarseth's parents that he would re-record the bass tracks himself; being unable to play bass guitar, Hellhammer left the bass tracks unchanged, and so the album features Vikernes as effective bassist .

Did they go on tours?