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Displaying 461 – 480 of 856

The Number of Stem Covers of an Elementary Abelian p-Group.

Ursula Martin Webb (1983)

Mathematische Zeitschrift

The Obstruction theory of Group Extensions and H^3(Q, A) in Abstract Categories

George Danas (1999)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

The one-block property in varieties of semigroups.

P. Agliano (1991)

Semigroup forum

The operation $A B A$ in operator algebras

Marcell Gaál (2020)

Commentationes Mathematicae Universitatis Carolinae

The binary operation $a b a$ , called Jordan triple product, and its variants (such as e.g. the sequential product $\sqrt{a} b \sqrt{a}$ or the inverted Jordan triple product $a b^{- 1} a$ ) appear in several branches of operator theory and matrix analysis. In this paper we briefly survey some analytic and algebraic properties of these operations, and investigate their intimate connection to Thompson type isometries in different operator algebras.

The orbits of the Hurwitz action of the braid groups on the standard generators

Yoshiro Yaguchi (2010)

Fundamenta Mathematicae

The Hurwitz action of the n-braid group Bₙ on the n-fold direct product $(B_{m}) ⁿ$ of the m-braid group $B_{m}$ is studied. We show that the orbit of any n- tuple of the n standard generators of $B_{n + 1}$ consists of the (n-1)th powers of n+1 elements.

The order dimension of Bruhat order on infinite Coxeter groups.

Reading, Nathan, Waugh, Debra J. (2004)

The Electronic Journal of Combinatorics [electronic only]

The order of a finite Coxeter group.

P. McMullen (1991)

Elemente der Mathematik

The order of normalform hypersubstitutions of type (2)

Klaus Denecke, Kazem Mahdavi (2000)

Discussiones Mathematicae - General Algebra and Applications

In [2] it was proved that all hypersubstitutions of type τ = (2) which are not idempotent and are different from the hypersubstitution whichmaps the binary operation symbol f to the binary term f(y,x) haveinfinite order. In this paper we consider the order of hypersubstitutionswithin given varieties of semigroups. For the theory of hypersubstitution see [3].

The orderability of idempotent semigroups

Toru Saitô (1971/1972)

Séminaire Dubreil. Algèbre et théorie des nombres

The orderability of regular semigroups.

T. Saitô (1983)

Semigroup forum

The Ore conjecture

Martin Liebeck, E.A. O’Brien, Aner Shalev, Pham Tiep (2010)

Journal of the European Mathematical Society

The Ore conjecture, posed in 1951, states that every element of every finite non-abelian simple group is a commutator. Despite considerable effort, it remains open for various infinite families of simple groups. In this paper we develop new strategies, combining character-theoretic methods with other ingredients, and use them to establish the conjecture.

The other $P (G, V)$ -theorem

U. Meierfrankenfeld, B. Stellmacher (2006)

Rendiconti del Seminario Matematico della Università di Padova

The $p_{1}$ -central extension of the Mapping Class Group of orientable surfaces

Sylvain Gervais (1998)

Banach Center Publications

Topological Quantum Field Theories are closely related to representations of Mapping Class Groups of surfaces. Considering the case of the TQFTs derived from the Kauffman bracket, we describe the central extension coming from this representation, which is just a projective extension.

The $p$ -nilpotency of finite groups with some weakly pronormal subgroups

Jianjun Liu, Jian Chang, Guiyun Chen (2020)

Czechoslovak Mathematical Journal

For a finite group $G$ and a fixed Sylow $p$ -subgroup $P$ of $G$ , Ballester-Bolinches and Guo proved in 2000 that $G$ is $p$ -nilpotent if every element of $P \cap G^{'}$ with order $p$ lies in the center of $N_{G} (P)$ and when $p = 2$ , either every element of $P \cap G^{'}$ with order $4$ lies in the center of $N_{G} (P)$ or $P$ is quaternion-free and $N_{G} (P)$ is $2$ -nilpotent. Asaad introduced weakly pronormal subgroup of $G$ in 2014 and proved that $G$ is $p$ -nilpotent if every element of $P$ with order $p$ is weakly pronormal in $G$ and when $p = 2$ , every element of $P$ with order $4$ is also...

Currently displaying 461 – 480 of 856