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Let G be a finite p-group and let F be the field of p elements. It is shown that if G is elementary abelian-by-cyclic then the isomorphism type of G is determined by FG.

On the Jacobson radical of graded rings

Andrei V. Kelarev (1992)

Commentationes Mathematicae Universitatis Carolinae

All commutative semigroups $S$ are described such that the Jacobson radical is homogeneous in each ring graded by $S$ .

On the Loewy-series of the modular group algebra of a finite p-group.

Olaf Manz, Reiner Staszewski (1986)

Journal für die reine und angewandte Mathematik

On the projective class group of cyclic groups of prime power order.

M.A. Kervaire, M. Pavaman Murthy (1977)

Commentarii mathematici Helvetici

On the Projectives of a Group Algebras.

Wolfgang Willems (1980)

Mathematische Zeitschrift

On the structure of induced modules and tensor induction for group representations

Emanuele Pacifici (2006)

Rendiconti del Seminario Matematico della Università di Padova

On the structure of the augmentation quotient group for some nonabelian 2-groups

Jizhu Nan, Huifang Zhao (2012)

Czechoslovak Mathematical Journal

Let $G$ be a finite nonabelian group, $ℤ G$ its associated integral group ring, and $▵ (G)$ its augmentation ideal. For the semidihedral group and another nonabelian 2-group the problem of their augmentation ideals and quotient groups $Q_{n} (G) = ▵^{n} (G) / ▵^{n + 1} (G)$ is deal with. An explicit basis for the augmentation ideal is obtained, so that the structure of its quotient groups can be determined.

On the structure of the group scheme $ℤ {[ℤ / p^{n}]}^{\times}$

Tsutomu Sekiguchi, Noriyuki Suwa (1995)

Compositio Mathematica

On the symplectic structure of irreducible representation modules of the metacyclic group $G = 〈 a, b : a^{n} = 1, b^{2} = a^{t}, b a b^{- 1} = a^{r} 〉$ . (Zur symplektischen Struktur irreduzibler Darstellungsmoduln der metazyklischen Gruppe $G = 〈 a, b : a^{n} = 1, b^{2} = a^{t}, b a b^{- 1} = a^{r} 〉$ .)

Roesch, Gerhard, Rosenbaum, Kurt (1995)

Beiträge zur Algebra und Geometrie

On the unit group of a semisimple group algebra $𝔽_{q} S L (2, ℤ_{5})$

Rajendra K. Sharma, Gaurav Mittal (2022)

Mathematica Bohemica

We give the characterization of the unit group of $𝔽_{q} S L (2, ℤ_{5})$ , where $𝔽_{q}$ is a finite field with $q = p^{k}$ elements for prime $p > 5,$ and $S L (2, ℤ_{5})$ denotes the special linear group of $2 \times 2$ matrices having determinant $1$ over the cyclic group $ℤ_{5}$ .

Currently displaying 121 – 140 of 237

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Displaying 121 – 140 of 237

On the automorphism group of Solomon's descent algebra.

On the closed left ideals of the group algebra $C S_{n}$

On the decomposition map of Grothendieck groups.

On the equivariant homotopy of spheres [Book]

On the finiteness obstruction of certain periodic groups.

On the Isomorphism of Group Algebras.

On the isomorphism problem for modular group algebras of elementary abelian-by-cyclic p-groups

On the Jacobson radical of graded rings

On the Loewy-series of the modular group algebra of a finite p-group.

On the projective class group of cyclic groups of prime power order.

On the Projectives of a Group Algebras.

On the structure of induced modules and tensor induction for group representations

On the structure of the augmentation quotient group for some nonabelian 2-groups

On the structure of the group scheme $ℤ {[ℤ / p^{n}]}^{\times}$

On the unit group of a semisimple group algebra $𝔽_{q} S L (2, ℤ_{5})$

On the vertices of modules in the Auslander-Reiten quiver.

On the vertices of modules in the Auslander-Reiten quiver II.

On the Vertices of Modules in the Auslander-Reiten Quiver of p-Groups.

On Thévenaz' parametrization of interior G-algebras.

Currently displaying 121 – 140 of 237