EUDML | Arithmetical characterizations of divisor class groups. II.

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Displaying similar documents to “Arithmetical characterizations of divisor class groups. II.”

On the composition factors of a group with the same prime graph as $B_{n} (5)$

Azam Babai, Behrooz Khosravi (2012)

Czechoslovak Mathematical Journal

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Let $G$ be a finite group. The prime graph of $G$ is a graph whose vertex set is the set of prime divisors of $| G |$ and two distinct primes $p$ and $q$ are joined by an edge, whenever $G$ contains an element of order $p q$ . The prime graph of $G$ is denoted by $Γ (G)$ . It is proved that some finite groups are uniquely determined by their prime graph. In this paper, we show that if $G$ is a finite group such that $Γ (G) = Γ (B_{n} (5))$ , where $n \geq 6$ , then $G$ has a unique nonabelian composition factor isomorphic to $B_{n} (5)$ or $C_{n} (5)$ .

Counting functions and finite differences.

Guersenzvaig, Natalio H., Spivey, Michael Z. (2007)

Integers

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Equidimensionality of the Brauer loop scheme.

Rothbach, Brian (2010)

The Electronic Journal of Combinatorics [electronic only]

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Modular forms of weight 1/2 over class number 1 imaginary quadratic number fields

David Gove (1993)

Acta Arithmetica

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Invariant subspaces for polynomially compact almost superdiagonal operators on $l (p_{i})$ .

Grainger, Arthur D. (2003)

International Journal of Mathematics and Mathematical Sciences

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Statistics on the multi-colored permutation groups.

Bagno, Eli, Butman, Ayelet, Garber, David (2007)

The Electronic Journal of Combinatorics [electronic only]

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Diassociativity is not finitely based relative to power associativity

Tomasz Kowalski (2010)

Commentationes Mathematicae Universitatis Carolinae

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We show that the variety of diassociative loops is not finitely based even relative to power associative loops with inverse property.

Derangements and Euler's difference table for $C_{l} ≀ S_{n}$ .

Faliharimalala, Hilarion L.M., Zeng, Jiang (2008)

The Electronic Journal of Combinatorics [electronic only]

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Explicit formulas for Bernoulli and Euler numbers.

Vella, David C. (2008)

Integers

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On a result of Williamson.

Gong, Ming-Peng (1996)

Portugaliae Mathematica

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