Projective representations of extra-special p-groups

The MOR cryptosystem and extra-special $p$-groups

This paper studies the MOR cryptosystem, using the auto-morphism group of the extra-special p-group of exponent p, for an odd prime p. Similar results can be obtained for extra-special p-groups of exponent p 2 and for the even prime.

On special representations of p–adic reductive groups

Let F be a non-Archimedean locally compact field, let G be a split connected reductive group over F . For a parabolic subgroup Q ⊂ G and a ring L we consider the G-representation on the L-module (∗) C∞(G/Q, L)/ ∑

Minimal polynomials of elements of order p in p-modular projective representations of alternating groups

Let F be an algebraically closed field of characteristic p > 0 and G be a quasi-simple group with G/Z(G) ∼= An. We describe the minimal polynomials of elements of order p in irreducible representations of G over F . If p = 2 we determine the minimal polynomials of elements of order 4 in 2modular irreducible representations of An, Sn, 3 ·A6, 3 ·S6, 3 ·A7, and 3 ·S7.

Projective Representations of Generalized Symmetric Groups

Projective Representations of Reflection Groups Ii