2010, ISBN: 9781849965040

eBooks, eBook Download (PDF), 2010, Let FG be the group ring of a group G over a field F. Write U(FG) for the group of units of FG. It is an important problem to determine the conditi… More...

eBooks, eBook Download (PDF), 2010, Let FG be the group ring of a group G over a field F. Write U(FG) for the group of units of FG. It is an important problem to determine the conditions under which U(FG) satisfies a group identity. In the mid 1990s, a conjecture of Hartley was verified, namely, if U(FG) satisfies a group identity, and G is torsion, then FG satisfies a polynomial identity. Necessary and sufficient conditions for U(FG) to satisfy a group identity soon followed. Since the late 1990s, many papers have been devoted to the study of the symmetric units; that is, those units u satisfying u* = u, where * is the involution on FG defined by sending each element of G to its inverse. The conditions under which these symmetric units satisfy a group identity have now been determined. This book presents these results for arbitrary group identities, as well as the conditions under which the unit group or the set of symmetric units satisfies several particular group identities of interest. [PU: Springer London], Seiten: 196, Springer London, 2010<

2010, ISBN: 9781849965040

Let FG be the group ring of a group G over a field F. Write U(FG) for the group of units of FG. It is an important problem to determine the conditions under which U(FG) satisfies a group … More...

Let FG be the group ring of a group G over a field F. Write U(FG) for the group of units of FG. It is an important problem to determine the conditions under which U(FG) satisfies a group identity. In the mid 1990s, a conjecture of Hartley was verified, namely, if U(FG) satisfies a group identity, and G is torsion, then FG satisfies a polynomial identity. Necessary and sufficient conditions for U(FG) to satisfy a group identity soon followed. Since the late 1990s, many papers have been devoted to the study of the symmetric units; that is, those units u satisfying u* = u, where * is the involution on FG defined by sending each element of G to its inverse. The conditions under which these symmetric units satisfy a group identity have now been determined. This book presents these results for arbitrary group identities, as well as the conditions under which the unit group or the set of symmetric units satisfies several particular group identities of interest. eBook Gregory T. Lee PDF, Springer, 19.08.2010, Springer, 2010<

2010, ISBN: 9781849965040

Springer, Kindle Edition, Auflage: 1st, 208 Seiten, Publiziert: 2010-08-19T00:00:00.000Z, Produktgruppe: Digital Ebook Purchas, Verkaufsrang: 4779641, Abstract, Algebra, Pure Mathematics,… More...

Springer, Kindle Edition, Auflage: 1st, 208 Seiten, Publiziert: 2010-08-19T00:00:00.000Z, Produktgruppe: Digital Ebook Purchas, Verkaufsrang: 4779641, Abstract, Algebra, Pure Mathematics, Mathematics, Science & Math, Subjects, Books, Group Theory, Specialty Boutique, Kindle eBooks, Categories, Kindle Store, Algebra & Trigonometry, Science & Mathematics, Kindle eTextbooks, Specialty Stores, Selection Test A1VC38T7YXB528, Selection Test ATVPDKIKX0DER, Selection Test A3UN6WX5RRO2AG, Selection Test A1PA6795UKMFR9, Selection Test A1F83G8C2ARO7P, Selection Test A13V1IB3VIYZZH, Selection Test A3AEGXETSR30VB, Selection Test A3P5ROKL5A1OLE, Selection Test A3JWKAKR8XB7XF, Selection Test A3R76HOPU0Z2CB, Selection Test A1IM4EOPHS76S7, Selection Test A138L1TOL8PIJT, Selection Test A3T4TT2Z381HKD, Selection Test A3LJ5WMKNRFKQS, English Language Store, Format: Kindle eBook, Springer, 2010<

ISBN: 9781849965040

Since the late 1990s, many papers have examined symmetric units. This book presents results for arbitrary group identities, as well as the conditions under which the unit group or the set… More...

Since the late 1990s, many papers have examined symmetric units. This book presents results for arbitrary group identities, as well as the conditions under which the unit group or the set of symmetric units satisfies particular group identities of interest.; PDF; Scientific, Technical and Medical > Mathematics > Algebra, Birkhauser Basel<

2010, ISBN: 9781849965040

Springer, Kindle Edition, Auflage: 1st, 208 Seiten, Publiziert: 2010-08-19T00:00:00.000Z, Produktgruppe: Digital Ebook Purchas, Algebra, Mathematics, Science, Nature & Maths, Subjects, Bo… More...

Springer, Kindle Edition, Auflage: 1st, 208 Seiten, Publiziert: 2010-08-19T00:00:00.000Z, Produktgruppe: Digital Ebook Purchas, Algebra, Mathematics, Science, Nature & Maths, Subjects, Books, Pure Mathematics, Science & Maths, Kindle eBooks, Categories, Kindle Store, Group Theory, Format: Kindle eBook, Springer, 2010<