{"product_id":"groups-of-prime-power-order-volume-1-9783110204186","title":"Groups of Prime Power Order. Volume 1","description":"\u003cp\u003e • Author(s): Yakov Berkovich\u003cbr\u003e • Publisher: de Gruyter\u003cbr\u003e • Publisher Imprint: de Gruyter\u003cbr\u003e • BISAC: Group Theory\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis is the first of three volumes of a comprehensive and elementary treatment of finite \u003cem\u003ep\u003c\/em\u003e-group theory. Topics covered in this monograph include: (a) counting of subgroups, with almost all main counting theorems being proved, (b) regular \u003cem\u003ep\u003c\/em\u003e-groups and regularity criteria, (c)\u003cem\u003e p\u003c\/em\u003e-groups of maximal class and their numerous characterizations, (d) characters of \u003cem\u003ep\u003c\/em\u003e-groups, (e) \u003cem\u003ep\u003c\/em\u003e-groups with large Schur multiplier and commutator subgroups, (f) (\u003cem\u003ep\u003c\/em\u003e‒1)-admissible Hall chains in normal subgroups, (g) powerful \u003cem\u003ep\u003c\/em\u003e-groups, (h) automorphisms of \u003cem\u003ep\u003c\/em\u003e-groups, (i) \u003cem\u003ep\u003c\/em\u003e-groups all of whose nonnormal subgroups are cyclic, (j) Alperin's problem on abelian subgroups of small index.\u003c\/p\u003e \u003cp\u003eThe book is suitable for researchers and graduate students of mathematics with a modest background on algebra. It also contains hundreds of original exercises (with difficult exercises being solved) and a comprehensive list of about 700 open problems.\u003c\/p\u003e","brand":"de Gruyter","offers":[{"title":"Hardcover","offer_id":46885134925975,"sku":"9783110204186","price":22057.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783110204186.webp?v=1770246260","url":"https:\/\/atlanticbooks.com\/products\/groups-of-prime-power-order-volume-1-9783110204186","provider":"Atlantic Books","version":"1.0","type":"link"}