Alyokhina, 24, asked to be placed in isolation over "strained relations" with her fellow inmates, a regional prisons spokesperson told RIA Novosti on Friday.
She and 23-year-old Nadia Tolokonnikova, along with a third member of the band, Yekaterina Samutsevich, were sentenced to two years in prison for hooliganism motivated by religious hatred related to a performance at Moscow's main Orthodox cathedral. Samutsevich was released from prison after she appealed her case.
Tolokonnikova and Alyokhina are serving their sentences in a penal colony in the Perm region, about 700 miles from Moscow.
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