A finite p-group G is called an LA-group if |G|||Aut(G)| when G is non-cyclic and |G|>p^2. This paper shows that a p-group of order p^n with an element of order p^(n-2) is an LA-group.
The matrix C of Cartan invariants is one of the aspects in modular representation theory. The nature of the entries in C remains somewhat mysterious. One entry of C,in which we are mainly interested here, is C11, the ...The matrix C of Cartan invariants is one of the aspects in modular representation theory. The nature of the entries in C remains somewhat mysterious. One entry of C,in which we are mainly interested here, is C11, the first Cartan invariant of the Chevalley group of type B2 SP(4, pn) (the multiplicity of the trivial module in its projective cover,展开更多
In 1972, Cheeger advanced a question based on his construction of symmetric spaces of rank one as follows Let M1 and M2 be compact Riemannian manifolds of positive sectional curvature. One can
文摘A finite p-group G is called an LA-group if |G|||Aut(G)| when G is non-cyclic and |G|>p^2. This paper shows that a p-group of order p^n with an element of order p^(n-2) is an LA-group.
文摘The matrix C of Cartan invariants is one of the aspects in modular representation theory. The nature of the entries in C remains somewhat mysterious. One entry of C,in which we are mainly interested here, is C11, the first Cartan invariant of the Chevalley group of type B2 SP(4, pn) (the multiplicity of the trivial module in its projective cover,
文摘In 1972, Cheeger advanced a question based on his construction of symmetric spaces of rank one as follows Let M1 and M2 be compact Riemannian manifolds of positive sectional curvature. One can