Expansion and random walks in SL_d(Z/p^n Z): II

82 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Random walks in compact groups (2012, background): “The statement of the following theorem is very technical, so we first explain it informally: We suppose that G is a quasirandom profinite group and partition its finite index normal subgroups into two sets: Ω1∪̇Ω2.”
Expansion in SLd(Z/qZ), q arbitrary (2010, unknown): “G R ] 1 7”
Expansion in $SL_d(O_K/I)$, $I$ square-free (2010, background): “s [5]–[7], and by them jointly with Sarnak in [8]. It is solved for K= Qin the following cases: in [5] for d= 2, when and I= (p) runs through primes, in [8] for d= 2 and I= (q), qis square-freeand in [6] and [7] when I= (pn), pn is a primepower. 1 (When d≥ 3, the prime phas to be kept ﬁxed.) The nec”