The Slabodka yeshiva ceased operation during the Second World War. Already before the war a large segment of the students had relocated to Hebron under Rabbi Finkel's leadership, and the yeshiva had been run by Rabbi Yitzchok Isaac Sher.
Addition: R. Moshe Danishevsky was Rav of Slabodka
Nosson Zvi (Nota Hirsh) Finkel (1849 - 1927) was known as the alter ("elder") of the Yeshiva of Slobodka[?], or SlabodkaYeshiva[?], in a small town in Lithuania where he built it.
His main opponents in the yeshiva world were the members and alumni of the Brisk[?] yeshiva of Lithuania headed by the Soloveitchik family, who, unlike their kin Joseph Soloveitchik, were adamantly opposed to any changes in what they believed to be the time-tested ways of yeshiva education.
His own son, Eliezer Yehudah (Lazer Yudel) eventually became the head of the far older Mir yeshiva, leading it all the way to Jerusalem where it is today the largest post-high school yeshiva in the world with thousands of students.
As a young teenager, he was enrolled in the famous mussar Slabodka[?]Yeshiva in Lithuania, headed by the famous Rabbi Nosson Zvi Finkel.
Having obtained a deep grounding in Talmud, the young Rabbi Hutner was sent to join an extension of the Slabodkayeshiva in Hebron.
He maintained this relatively liberal policy during his entire tenure at the helm of the yeshiva, allowing and even encouraging students to combine their day's learning in yeshiva together with attending college, such as at Brooklyn College[?] in late afternoons and evenings.