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The Roquette category of finite $p$ -groups

Serge Bouc (2015)

Journal of the European Mathematical Society

Let $p$ be a prime number. This paper introduces the Roquette category $ℛ_{p}$ of finite $p$ -groups, which is an additive tensor category containing all finite $p$ -groups among its objects. In $ℛ_{p}$ , every finite $p$ -group $P$ admits a canonical direct summand $\partial P$ , called the edge of $P$ . Moreover $P$ splits uniquely as a direct sum of edges of Roquette $p$ -groups, and the tensor structure of $ℛ_{p}$ can be described in terms of such edges. The main motivation for considering this category is that the additive functors from $ℛ_{p}$ to...

The Schur Multiplicator of SL(2, Z/mZ) and the Congruence Subgroup Property.

F. Rudolf Beyl (1986)

Mathematische Zeitschrift

The Schur multiplier of a generalized Baumslag-Solitar group

Derek J. S. Robinson (2011)

Rendiconti del Seminario Matematico della Università di Padova

The Schur Multipliers of SL (3, Z) and &L (4, Z).

Wilberd van der Kallen (1974)

Mathematische Annalen

The Schur Multipliers of Sp6(Z),Spin8(Z),Spin7(Z),andF4(Z).

Michael R. Stein (1975)

Mathematische Annalen

The Schur Theorem for periodic semigroups of Linear relations.

L.B. Sneperman (1982)

Semigroup forum

The Schützenberger group of an H-class in the semigroup of binary relations.

D.W. Hardy, G. Markowsky, R.L. Brandon (1972)

Semigroup forum

The Second Homology Group of the Mapping Class Group of an Orientable Surface.

John Harer (1983)

Inventiones mathematicae

The semantical hyperunification problem

Klaus Denecke, Jörg Koppitz, Shelly Wismath (2001)

Discussiones Mathematicae - General Algebra and Applications

A hypersubstitution of a fixed type τ maps n-ary operation symbols of the type to n-ary terms of the type. Such a mapping induces a unique mapping defined on the set of all terms of type t. The kernel of this induced mapping is called the kernel of the hypersubstitution, and it is a fully invariant congruence relation on the (absolutely free) term algebra $F_{τ} (X)$ of the considered type ([2]). If V is a variety of type τ, we consider the composition of the natural homomorphism with the mapping induced...