{"product_id":"9783030740993","title":"Lecture Notes in Mathematics","description":"\u003ch1\u003eLecture Notes in Mathematics\u003c\/h1\u003e \u003ch2\u003eHarper, Scott\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cdiv\u003e\u003cbr\u003e\u003c\/div\u003e\u003cdiv\u003eThis monograph studies generating sets of almost simple classical groups, by bounding the spread of these groups.  \u003c\/div\u003e\u003cdiv\u003e \u003c\/div\u003e\u003cdiv\u003eGuralnick and Kantor resolved a 1962 question of Steinberg by proving that in a finite simple group, every nontrivial element belongs to a generating pair. Groups with this property are said to be 3\/2-generated. Breuer, Guralnick and Kantor conjectured that a finite group is 3\/2-generated if and only if every proper quotient is cyclic. We prove a strong version of this conjecture for almost simple classical groups, by bounding the spread of these groups. This involves analysing the automorphisms, fixed point ratios and subgroup structure of almost simple classical groups, so the first half of this monograph is dedicated to these general topics. In particular, we give a general exposition of Shintani descent.  \u003c\/div\u003e\u003cdiv\u003e \u003c\/div\u003e\u003cdiv\u003eThis monograph will interest researchers in group generation, but theopening chapters also serve as a general introduction to the almost simple classical groups. \u003c\/div\u003e\u003cdiv\u003e\u003cbr\u003e\u003c\/div\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2021-05-26\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783030740993\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-030-74100-6\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 154\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":44805979832460,"sku":"9783030740993","price":53.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783030740993.jpg?v=1775675782","url":"https:\/\/lateknightbooks.com\/products\/9783030740993","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}