Group Identities on Units and Symmetric Units of Group Rings

Name: Group Identities on Units and Symmetric Units of Group Rings
Brand: Springer Nature
SKU: 9781849965040
Availability: InStock

Group Identities on Units and Symmetric Units of Group Rings

Brand

Springer Nature

Manufacturer

N/A

Part Number

GTIN

9781849965040

Condition

New

0 Reviews

0 Questions | 0 Answers

Product Description

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.

Available Colors

N/A

Available Sizes

N/A

1 Offer Price Range: $39.99 - $39.99

BEST PRICE

Single Product Purchase

$36.00

@ Link.springer.com with extra coupon Get Coupon & BUY

Price Comparison

Seller	Contact Seller	List Price	On Sale	Shipping	Best Promo	Final Price	Volume Discount	Financing	Availability	Seller's Page
BEST PRICE 1 Product Purchase @ Link.springer.com Rate Seller This functionality is for registered users only. Go to Login/Register		$39.99	$39.99		10% OFF This deals requires coupon Get Code Here your10off @ Link.springer.com Deals Ends 31/08/2025	$36.00		See Site	In stock	Visit Store