Die Euler-Poincaré-Charakteristik und ihre topologische Weiterentwicklung.
On the Homology Theory of Central Group Extensions II. The Exact Sequence in the General Case
On the Homology Theory of Central Group Extensions: I - The Commutator Map and Stem Extensions
The two-square lemma.
A new proof is given of the connecting homomorphism.
On the basic character of residue classes.
Let t, b be mutually prime positive integers. We say that the residue class t mod b is basic if there exists n such that t ≡ -1 mod b; otherwise t is not basic. In this paper we relate the basic character of t mod b to the quadratic character of t modulo the prime factors of b. If all prime factors p of b satisfy p ≡ 3 mod 4, then t is basic mod b if t is a quadratic non-residue mod p for all such p; and t is not basic mod b if t is a quadratic residue mod p for all such p. If, for all prime factors...
Induction and restriction as adjoint functors on representations of locally compact groups.
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