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On unit groups of modular group algebras - The concept of end-commutable ordering - with 241 exercises100%: Sven Bodo Wirsing: On unit groups of modular group algebras - The concept of end-commutable ordering - with 241 exercises (ISBN: 9783960677246) Anchor Academic Publishing Anchor Academic Publishing, Erstausgabe, in Englisch, auch als eBook.
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On unit groups of modular group algebras88%: Sven Bodo Wirsing: On unit groups of modular group algebras (ISBN: 9783960672241) 2019, Anchor Academic Publishing, in Englisch, Taschenbuch.
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On unit groups of modular group algebras - The concept of end-commutable ordering - with 241 exercises
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9783960672241 - On unit groups of modular group algebras: The concept of end-commutable ordering - with 241 exercises Sven Bodo Wirsing Author

On unit groups of modular group algebras: The concept of end-commutable ordering - with 241 exercises Sven Bodo Wirsing Author

Lieferung erfolgt aus/von: Vereinigte Staaten von Amerika ~EN PB NW

ISBN: 9783960672241 bzw. 3960672241, vermutlich in Englisch, Anchor Academic Publishing, Taschenbuch, neu.

53,32 ($ 59,90)¹
unverbindlich
Lieferung aus: Vereinigte Staaten von Amerika, Lagernd, zzgl. Versandkosten.
In this book we analyse unit groups of group algebras KG for non-abelian p-groups G and fields K of characteristic p. By calculating the core and the normaliser of U in 1 + rad(KG) - the group of normalized units -- for every subgroup U of G, we generalise results of K.R. Pearson and D.B. Coleman using fixed points of enhanced group actions. Our concept of so-called end-commutable ordering leads to a new method of studying the center of 1 + rad(KG). We proof that a finite group G is nilpotent if and only if every conjugacy class possesses an end-commutable ordering. As a simple consequence we get a result of A.A. Bovdi and Z. Patay, which shows how the exponent of the center of 1 + rad(KG) can be determined by calculations purely within the group G. We describe the groups for which this exponent is extremal and calculate the exponent for various group classes (e.g. regular groups, special groups, Sylow subgroups of linear and symmetric groups) and group constructions (e.g. wreath products, central products, special group extensions, isoclinic groups). Another application of our concept of end-commutable ordering is a description of the invariants of the center of 1 + rad(KG) for a finite field K. They are determined purely by the group G and the field K and can be visualized by a special graph - the class-graph. As a consequence of our results we prove that the center, the derived subgroups and the p-th-power subgroup of 1 + rad(KG) are not cyclic. Furthermore, we obtain some properties of unit groups of group algebras for extra-special 2-groups and fields of characteristic 2. Finally, we investigate the behaviour of the center and other characteristics (e.g. the exponent, the class of nilpotency, the Baer length, the degree of commutativity) for the chain of iterated unit groups of modular group algebras. For this, we use Lie and radical algebra methods.
2
9783960677246 - Sven Bodo Wirsing: On unit groups of modular group algebras - The concept of end-commutable ordering - with 241 exercises
Sven Bodo Wirsing

On unit groups of modular group algebras - The concept of end-commutable ordering - with 241 exercises

Lieferung erfolgt aus/von: Deutschland ~EN NW EB DL

ISBN: 9783960677246 bzw. 3960677243, vermutlich in Englisch, Anchor Academic Publishing Anchor Academic Publishing, neu, E-Book, elektronischer Download.

Lieferung aus: Deutschland, Versandkostenfrei.
On unit groups of modular group algebras: In this book we analyse unit groups of group algebras KG for non-abelian p-groups G and fields K of characteristic p. By calculating the core and the normaliser of U in 1 + rad(KG) - the group of normalized units -- for every subgroup U of G, we generalise results of K.R. Pearson and D.B. Coleman using fixed points of enhanced group actions. Our concept of so-called end-commutable ordering leads to a new method of studying the center of 1 + rad(KG). We proof that a finite group G is nilpotent if and only if every conjugacy class possesses an end-commutable ordering. As a simple consequence we get a result of A.A. Bovdi and Z. Patay, which shows how the exponent of the center of 1 + rad(KG) can be determined by calculations purely within the group G. We describe the groups for which this exponent is extremal and calculate the exponent for various group classes (e.g. regular groups, special groups, Sylow subgroups of linear and symmetric groups) and group constructions (e.g. wreath products, central products, special group extensions, isoclinic groups). Another application of our concept of end-commutable ordering is a description of the invariants of the center of 1 + rad(KG) for a finite field K. They are determined purely by the group G and the field K and can be visualized by a special graph - the class-graph. As a consequence of our results we prove that the center, the derived subgroups and the p-th-power subgroup of 1 + rad(KG) are not cyclic. Furthermore, we obtain some properties of unit groups of group algebras for extra-special 2-groups and fields of characteristic 2. Finally, we investigate the behaviour of the center and other characteristics (e.g. the exponent, the class of nilpotency, the Baer length, the degree of commutativity) for the chain of iterated unit groups of modular group algebras. For this, we use Lie and radical algebra methods. Englisch, Ebook.
3
9783960677246 - On unit groups of modular group algebras

On unit groups of modular group algebras

Lieferung erfolgt aus/von: Deutschland ~EN NW FE EB DL

ISBN: 9783960677246 bzw. 3960677243, vermutlich in Englisch, neu, Erstausgabe, E-Book, elektronischer Download.

On unit groups of modular group algebras ab 34.99 EURO The concept of end-commutable ordering - with 241 exercises. 1. Auflage.
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3960672241 - Sven Bodo Wirsing: On unit groups of modular group algebras
Sven Bodo Wirsing

On unit groups of modular group algebras

Lieferung erfolgt aus/von: Deutschland ~EN PB NW

ISBN: 3960672241 bzw. 9783960672241, vermutlich in Englisch, Anchor Academic Publishing, Taschenbuch, neu.

44,50 + Versand: 7,50 = 52,00
unverbindlich
On unit groups of modular group algebras ab 44.5 € als Taschenbuch: The concept of end-commutable ordering - with 241 exercises. Aus dem Bereich: Bücher, Wissenschaft, Mathematik,.
5
3960672241 - On unit groups of modular group algebras

On unit groups of modular group algebras

Lieferung erfolgt aus/von: Deutschland ~EN NW

ISBN: 3960672241 bzw. 9783960672241, vermutlich in Englisch, neu.

On unit groups of modular group algebras ab 44.5 EURO The concept of end-commutable ordering - with 241 exercises.
6
9783960672241 - Wirsing, Sven Bodo: On unit groups of modular group algebras
Wirsing, Sven Bodo

On unit groups of modular group algebras (2019)

Lieferung erfolgt aus/von: Deutschland ~EN PB NW

ISBN: 9783960672241 bzw. 3960672241, vermutlich in Englisch, Taschenbuch, neu.

Lieferung aus: Deutschland, Next Day, Versandkostenfrei.
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